56679187200 has 432 divisors, whose sum is σ = 194007895200. Its totient is φ = 14562099200.

The previous prime is 56679187189. The next prime is 56679187207. The reversal of 56679187200 is 278197665.

It is not an unprimeable number, because it can be changed into a prime (56679187207) 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, 70060396 + ... + 70061204.

It is an arithmetic number, because the mean of its divisors is an integer number (449092350).

Almost surely, 2^56679187200 is an apocalyptic number.

56679187200 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 56679187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97003947600).

56679187200 is an abundant number, since it is smaller than the sum of its proper divisors (137328708000).

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

56679187200 is a wasteful number, since it uses less digits than its factorization.

56679187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 56679187200 in words is "fifty-six billion, six hundred seventy-nine million, one hundred eighty-seven thousand, two hundred".