56695420903680 has 4608 divisors, whose sum is σ = 256340754432000. Its totient is φ = 11706543636480.

The previous prime is 56695420903679. The next prime is 56695420903687. The reversal of 56695420903680 is 8630902459665.

56695420903680 is a `hidden beast` number, since 5 + 6 + 6 + 9 + 542 + 0 + 9 + 0 + 3 + 6 + 80 = 666.

It is a super-3 number, since 3×56695420903680³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (56695420903687) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 157925963341 + ... + 157925963699.

It is an arithmetic number, because the mean of its divisors is an integer number (55629504000).

Almost surely, 2^{56695420903680} 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 56695420903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128170377216000).

56695420903680 is an abundant number, since it is smaller than the sum of its proper divisors (199645333528320).

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

56695420903680 is a wasteful number, since it uses less digits than its factorization.

56695420903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 56695420903680 in words is "fifty-six trillion, six hundred ninety-five billion, four hundred twenty million, nine hundred three thousand, six hundred eighty".