56051758425600 has 2400 divisors, whose sum is σ = 245557966427136. Its totient is φ = 12361973760000.

The previous prime is 56051758425599. The next prime is 56051758425617. The reversal of 56051758425600 is 652485715065.

56051758425600 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 1 + 7 + 5 + 8 + 4 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24900824475 + ... + 24900826725.

Almost surely, 2^{56051758425600} is an apocalyptic number.

56051758425600 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 56051758425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122778983213568).

56051758425600 is an abundant number, since it is smaller than the sum of its proper divisors (189506208001536).

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

56051758425600 is a wasteful number, since it uses less digits than its factorization.

56051758425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 56051758425600 in words is "fifty-six trillion, fifty-one billion, seven hundred fifty-eight million, four hundred twenty-five thousand, six hundred".