56377415100 has 144 divisors (see below), whose sum is σ = 165835385856. Its totient is φ = 14784672000.

The previous prime is 56377415099. The next prime is 56377415141. The reversal of 56377415100 is 151477365.

It is a congruent number.

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, 8964157 + ... + 8970443.

It is an arithmetic number, because the mean of its divisors is an integer number (1151634624).

Almost surely, 2^56377415100 is an apocalyptic number.

56377415100 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 56377415100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82917692928).

56377415100 is an abundant number, since it is smaller than the sum of its proper divisors (109457970756).

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

56377415100 is a wasteful number, since it uses less digits than its factorization.

56377415100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6796 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 56377415100 in words is "fifty-six billion, three hundred seventy-seven million, four hundred fifteen thousand, one hundred".