56332604100 has 288 divisors, whose sum is σ = 175588761600. Its totient is φ = 13901068800.

The previous prime is 56332604063. The next prime is 56332604101. The reversal of 56332604100 is 140623365.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (56332604101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64232862 + ... + 64233738.

It is an arithmetic number, because the mean of its divisors is an integer number (609683200).

Almost surely, 2^56332604100 is an apocalyptic number.

56332604100 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 56332604100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87794380800).

56332604100 is an abundant number, since it is smaller than the sum of its proper divisors (119256157500).

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

56332604100 is a wasteful number, since it uses less digits than its factorization.

56332604100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 56332604100 in words is "fifty-six billion, three hundred thirty-two million, six hundred four thousand, one hundred".