56533277203200 has 1728 divisors, whose sum is σ = 239093763686400. Its totient is φ = 12803799859200.

The previous prime is 56533277203177. The next prime is 56533277203241. The reversal of 56533277203200 is 230277233565.

56533277203200 is a `hidden beast` number, since 5 + 6 + 5 + 33 + 277 + 20 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×56533277203200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81813714855 + ... + 81813715545.

Almost surely, 2^{56533277203200} is an apocalyptic number.

56533277203200 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 56533277203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119546881843200).

56533277203200 is an abundant number, since it is smaller than the sum of its proper divisors (182560486483200).

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

56533277203200 is a wasteful number, since it uses less digits than its factorization.

56533277203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 45.

The spelling of 56533277203200 in words is "fifty-six trillion, five hundred thirty-three billion, two hundred seventy-seven million, two hundred three thousand, two hundred".