56305937860920 has 384 divisors, whose sum is σ = 208535029597440. Its totient is φ = 13550286320640.

The previous prime is 56305937860871. The next prime is 56305937860943. The reversal of 56305937860920 is 2906873950365.

56305937860920 is a `hidden beast` number, since 5 + 6 + 30 + 593 + 7 + 8 + 6 + 0 + 9 + 2 + 0 = 666.

It is a super-3 number, since 3×56305937860920³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12726079 + ... + 16570001.

It is an arithmetic number, because the mean of its divisors is an integer number (543059972910).

Almost surely, 2^{56305937860920} 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 56305937860920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104267514798720).

56305937860920 is an abundant number, since it is smaller than the sum of its proper divisors (152229091736520).

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

56305937860920 is a wasteful number, since it uses less digits than its factorization.

56305937860920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844097 (or 3844081 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 56305937860920 in words is "fifty-six trillion, three hundred five billion, nine hundred thirty-seven million, eight hundred sixty thousand, nine hundred twenty".