56000100800 has 336 divisors, whose sum is σ = 163199673600. Its totient is φ = 18901048320.

The previous prime is 56000100791. The next prime is 56000100817. The reversal of 56000100800 is 800100065.

56000100800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56000100800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

56000100800 is a modest number, since divided by 100800 gives 56000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36768839 + ... + 36770361.

Almost surely, 2^56000100800 is an apocalyptic number.

56000100800 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 56000100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81599836800).

56000100800 is an abundant number, since it is smaller than the sum of its proper divisors (107199572800).

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

56000100800 is a wasteful number, since it uses less digits than its factorization.

56000100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 56000100800 its reverse (800100065), we get a palindrome (56800200865).

The spelling of 56000100800 in words is "fifty-six billion, one hundred thousand, eight hundred".