56016040900 has 144 divisors (see below), whose sum is σ = 126258793920. Its totient is φ = 21557145600.

The previous prime is 56016040889. The next prime is 56016040919. The reversal of 56016040900 is 904061065.

It is a super-2 number, since 2×56016040900² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 129367084 + ... + 129367516.

It is an arithmetic number, because the mean of its divisors is an integer number (876797180).

Almost surely, 2^56016040900 is an apocalyptic number.

56016040900 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 56016040900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63129396960).

56016040900 is an abundant number, since it is smaller than the sum of its proper divisors (70242753020).

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

56016040900 is a wasteful number, since it uses less digits than its factorization.

56016040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 56016040900 in words is "fifty-six billion, sixteen million, forty thousand, nine hundred".