56675203200 has 1152 divisors, whose sum is σ = 263430014400. Its totient is φ = 11766988800.

The previous prime is 56675203199. The next prime is 56675203219. The reversal of 56675203200 is 230257665.

It is a happy number.

56675203200 is a `hidden beast` number, since 56 + 67 + 520 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×56675203200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46568992 + ... + 46570208.

Almost surely, 2^56675203200 is an apocalyptic number.

56675203200 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 56675203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131715007200).

56675203200 is an abundant number, since it is smaller than the sum of its proper divisors (206754811200).

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

56675203200 is a wasteful number, since it uses less digits than its factorization.

56675203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 56675203200 in words is "fifty-six billion, six hundred seventy-five million, two hundred three thousand, two hundred".