56416627200 has 480 divisors, whose sum is σ = 195039516672. Its totient is φ = 14358528000.

The previous prime is 56416627147. The next prime is 56416627207. The reversal of 56416627200 is 272661465.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (56416627207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98802915 + ... + 98803485.

Almost surely, 2^56416627200 is an apocalyptic number.

56416627200 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 56416627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97519758336).

56416627200 is an abundant number, since it is smaller than the sum of its proper divisors (138622889472).

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

56416627200 is a wasteful number, since it uses less digits than its factorization.

56416627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 56416627200 in words is "fifty-six billion, four hundred sixteen million, six hundred twenty-seven thousand, two hundred".