56125857109504 has 480 divisors, whose sum is σ = 141867225916416. Its totient is φ = 21985999257600.

The previous prime is 56125857109489. The next prime is 56125857109507. The reversal of 56125857109504 is 40590175852165.

It is a super-2 number, since 2×56125857109504² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56125857109507) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29035620922 + ... + 29035622854.

Almost surely, 2^{56125857109504} 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 56125857109504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70933612958208).

56125857109504 is an abundant number, since it is smaller than the sum of its proper divisors (85741368806912).

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

56125857109504 is a wasteful number, since it uses less digits than its factorization.

56125857109504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 58.

The spelling of 56125857109504 in words is "fifty-six trillion, one hundred twenty-five billion, eight hundred fifty-seven million, one hundred nine thousand, five hundred four".