56880969600 has 384 divisors, whose sum is σ = 230590241280. Its totient is φ = 12001075200.

The previous prime is 56880969599. The next prime is 56880969601. The reversal of 56880969600 is 696908865.

It is an interprime number because it is at equal distance from previous prime (56880969599) and next prime (56880969601).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×56880969600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56880969601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841045 + ... + 906155.

It is an arithmetic number, because the mean of its divisors is an integer number (600495420).

Almost surely, 2^56880969600 is an apocalyptic number.

56880969600 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 56880969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115295120640).

56880969600 is an abundant number, since it is smaller than the sum of its proper divisors (173709271680).

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

56880969600 is a wasteful number, since it uses less digits than its factorization.

56880969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65158 (or 65141 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 56880969600 in words is "fifty-six billion, eight hundred eighty million, nine hundred sixty-nine thousand, six hundred".