56580003200 has 192 divisors, whose sum is σ = 160030590720. Its totient is φ = 19363276800.

The previous prime is 56580003173. The next prime is 56580003203. The reversal of 56580003200 is 230008565.

It is a super-3 number, since 3×56580003200³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56580003203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14132399 + ... + 14136401.

It is an arithmetic number, because the mean of its divisors is an integer number (833492660).

Almost surely, 2^56580003200 is an apocalyptic number.

56580003200 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 56580003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015295360).

56580003200 is an abundant number, since it is smaller than the sum of its proper divisors (103450587520).

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

56580003200 is a wasteful number, since it uses less digits than its factorization.

56580003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 56580003200 in words is "fifty-six billion, five hundred eighty million, three thousand, two hundred".