56545166400 has 336 divisors, whose sum is σ = 192498512640. Its totient is φ = 14520729600.

The previous prime is 56545166387. The next prime is 56545166413. The reversal of 56545166400 is 466154565.

It is an interprime number because it is at equal distance from previous prime (56545166387) and next prime (56545166413).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15545382 + ... + 15549018.

It is an arithmetic number, because the mean of its divisors is an integer number (572912240).

Almost surely, 2^56545166400 is an apocalyptic number.

56545166400 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 56545166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96249256320).

56545166400 is an abundant number, since it is smaller than the sum of its proper divisors (135953346240).

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

56545166400 is a wasteful number, since it uses less digits than its factorization.

56545166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 56545166400 in words is "fifty-six billion, five hundred forty-five million, one hundred sixty-six thousand, four hundred".