56672359257600 has 960 divisors, whose sum is σ = 224056556486400. Its totient is φ = 13984199147520.

The previous prime is 56672359257529. The next prime is 56672359257629. The reversal of 56672359257600 is 675295327665.

It is a happy number.

56672359257600 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 2 + 3 + 59 + 2 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 282254844 + ... + 282455556.

It is an arithmetic number, because the mean of its divisors is an integer number (233392246340).

Almost surely, 2^{56672359257600} is an apocalyptic number.

56672359257600 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 56672359257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112028278243200).

56672359257600 is an abundant number, since it is smaller than the sum of its proper divisors (167384197228800).

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

56672359257600 is a wasteful number, since it uses less digits than its factorization.

56672359257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200812 (or 200785 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 63.

The spelling of 56672359257600 in words is "fifty-six trillion, six hundred seventy-two billion, three hundred fifty-nine million, two hundred fifty-seven thousand, six hundred".