56556710200 has 96 divisors (see below), whose sum is σ = 138006568800. Its totient is φ = 21513704960.

The previous prime is 56556710191. The next prime is 56556710227. The reversal of 56556710200 is 201765565.

It is a super-3 number, since 3×56556710200³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 56556710200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760266 + ... + 831334.

It is an arithmetic number, because the mean of its divisors is an integer number (1437568425).

Almost surely, 2^56556710200 is an apocalyptic number.

56556710200 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 56556710200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69003284400).

56556710200 is an abundant number, since it is smaller than the sum of its proper divisors (81449858600).

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

56556710200 is a wasteful number, since it uses less digits than its factorization.

56556710200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71281 (or 71272 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The spelling of 56556710200 in words is "fifty-six billion, five hundred fifty-six million, seven hundred ten thousand, two hundred".