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55053463370400 = 2532521110911535531
BaseRepresentation
bin11001000010010001000100…
…01000001011101010100000
321012221001121112001000012200
430201020202020023222200
524203443443110323100
6313031113435253200
714411324100345645
oct1441104210135240
9235831545030180
1055053463370400
11165a6051917090
1262118915aa200
132494699c39b51
14d8485d665dcc
15657100ce9e00
hex32122220baa0

55053463370400 has 864 divisors, whose sum is σ = 213947643349440. Its totient is φ = 13209993216000.

The previous prime is 55053463370327. The next prime is 55053463370401. The reversal of 55053463370400 is 407336435055.

It is a happy number.

55053463370400 is a `hidden beast` number, since 5 + 5 + 0 + 5 + 3 + 4 + 633 + 7 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55053463370401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9953615635 + ... + 9953621165.

It is an arithmetic number, because the mean of its divisors is an integer number (247624587210).

Almost surely, 255053463370400 is an apocalyptic number.

55053463370400 is a gapful number since it is divisible by the number (50) 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 55053463370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106973821674720).

55053463370400 is an abundant number, since it is smaller than the sum of its proper divisors (158894179979040).

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

55053463370400 is a wasteful number, since it uses less digits than its factorization.

55053463370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 55053463370400 in words is "fifty-five trillion, fifty-three billion, four hundred sixty-three million, three hundred seventy thousand, four hundred".