56192580800 has 336 divisors, whose sum is σ = 149294819520. Its totient is φ = 20772864000.

The previous prime is 56192580761. The next prime is 56192580803. The reversal of 56192580800 is 808529165.

It is a super-2 number, since 2×56192580800² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56192580803) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 121892570 + ... + 121893030.

It is an arithmetic number, because the mean of its divisors is an integer number (444329820).

Almost surely, 2^56192580800 is an apocalyptic number.

56192580800 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 56192580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74647409760).

56192580800 is an abundant number, since it is smaller than the sum of its proper divisors (93102238720).

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

56192580800 is a wasteful number, since it uses less digits than its factorization.

56192580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 44.

The spelling of 56192580800 in words is "fifty-six billion, one hundred ninety-two million, five hundred eighty thousand, eight hundred".