55902553185600 has 2352 divisors, whose sum is σ = 229432462079040. Its totient is φ = 13287628800000.

The previous prime is 55902553185541. The next prime is 55902553185613. The reversal of 55902553185600 is 658135520955.

It is a happy number.

55902553185600 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 2 + 553 + 1 + 85 + 6 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 231960801480 + ... + 231960801720.

Almost surely, 2^{55902553185600} is an apocalyptic number.

55902553185600 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 55902553185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114716231039520).

55902553185600 is an abundant number, since it is smaller than the sum of its proper divisors (173529908893440).

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

55902553185600 is a wasteful number, since it uses less digits than its factorization.

55902553185600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 8100000, while the sum is 54.

The spelling of 55902553185600 in words is "fifty-five trillion, nine hundred two billion, five hundred fifty-three million, one hundred eighty-five thousand, six hundred".