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1055088527328 = 25351137437753
BaseRepresentation
bin11110101101010000010…
…11010100011111100000
310201212100221012120100000
433112220023110133200
5114241310130333303
62124411224500000
7136141035336303
oct17265013243740
93655327176300
101055088527328
11377507a70930
1215059701a600
1378657321984
14390d08c0b3a
151c6a2becda3
hexf5a82d47e0

1055088527328 has 576 divisors, whose sum is σ = 3567674702592. Its totient is φ = 303808942080.

The previous prime is 1055088527327. The next prime is 1055088527333. The reversal of 1055088527328 is 8237258805501.

1055088527328 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 88 + 527 + 32 + 8 = 666.

1055088527328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10550885273282 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055088527321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136083900 + ... + 136091652.

It is an arithmetic number, because the mean of its divisors is an integer number (6193879692).

Almost surely, 21055088527328 is an apocalyptic number.

1055088527328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055088527328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783837351296).

1055088527328 is an abundant number, since it is smaller than the sum of its proper divisors (2512586175264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1055088527328 is a wasteful number, since it uses less digits than its factorization.

1055088527328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7869 (or 7849 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 1055088527328 in words is "one trillion, fifty-five billion, eighty-eight million, five hundred twenty-seven thousand, three hundred twenty-eight".