56129162893920 has 864 divisors, whose sum is σ = 201093043447296. Its totient is φ = 14803407590400.

The previous prime is 56129162893889. The next prime is 56129162893981. The reversal of 56129162893920 is 2939826192165.

56129162893920 is a `hidden beast` number, since 5 + 6 + 1 + 2 + 9 + 162 + 89 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59270498887 + ... + 59270499833.

It is an arithmetic number, because the mean of its divisors is an integer number (232746578064).

Almost surely, 2^{56129162893920} 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 56129162893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100546521723648).

56129162893920 is an abundant number, since it is smaller than the sum of its proper divisors (144963880553376).

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

56129162893920 is an equidigital number, since it uses as much as digits as its factorization.

56129162893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 56129162893920 in words is "fifty-six trillion, one hundred twenty-nine billion, one hundred sixty-two million, eight hundred ninety-three thousand, nine hundred twenty".