56551585120128 has 384 divisors, whose sum is σ = 187785763326720. Its totient is φ = 16000880467968.

The previous prime is 56551585120117. The next prime is 56551585120211. The reversal of 56551585120128 is 82102158515565.

56551585120128 is a `hidden beast` number, since 5 + 6 + 5 + 51 + 58 + 512 + 0 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2810285875 + ... + 2810305997.

It is an arithmetic number, because the mean of its divisors is an integer number (489025425330).

Almost surely, 2^{56551585120128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56551585120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93892881663360).

56551585120128 is an abundant number, since it is smaller than the sum of its proper divisors (131234178206592).

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

56551585120128 is a wasteful number, since it uses less digits than its factorization.

56551585120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23514 (or 23499 counting only the distinct ones).

The product of its (nonzero) digits is 4800000, while the sum is 54.

The spelling of 56551585120128 in words is "fifty-six trillion, five hundred fifty-one billion, five hundred eighty-five million, one hundred twenty thousand, one hundred twenty-eight".