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1055903808960 = 263357113131009
BaseRepresentation
bin11110101110110001100…
…01010111110111000000
310201221110202022011111000
433113120301113313000
5114244442333341320
62125024151052000
7136200165200550
oct17273061276700
93657422264430
101055903808960
1137789619a000
12150784071000
13787571c5440
143916aca7160
151c6ee592c90
hexf5d8c57dc0

1055903808960 has 1792 divisors, whose sum is σ = 5047722086400. Its totient is φ = 202330275840.

The previous prime is 1055903808913. The next prime is 1055903809021. The reversal of 1055903808960 is 698083095501.

It is a happy number.

1055903808960 is a `hidden beast` number, since 1 + 0 + 559 + 0 + 3 + 8 + 0 + 89 + 6 + 0 = 666.

It is a super-2 number, since 2×10559038089602 (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 junction number, because it is equal to n+sod(n) for n = 1055903808897 and 1055903808906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1046484936 + ... + 1046485944.

It is an arithmetic number, because the mean of its divisors is an integer number (2816809200).

Almost surely, 21055903808960 is an apocalyptic number.

1055903808960 is a gapful number since it is divisible by the number (10) 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 1055903808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523861043200).

1055903808960 is an abundant number, since it is smaller than the sum of its proper divisors (3991818277440).

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

1055903808960 is a wasteful number, since it uses less digits than its factorization.

1055903808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 1055903808960 in words is "one trillion, fifty-five billion, nine hundred three million, eight hundred eight thousand, nine hundred sixty".