51707566100 has 72 divisors (see below), whose sum is σ = 113620727808. Its totient is φ = 20423248000.

The previous prime is 51707566073. The next prime is 51707566133. The reversal of 51707566100 is 166570715.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3861617 + ... + 3874983.

It is an arithmetic number, because the mean of its divisors is an integer number (1578065664).

Almost surely, 2^51707566100 is an apocalyptic number.

51707566100 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 51707566100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56810363904).

51707566100 is an abundant number, since it is smaller than the sum of its proper divisors (61913161708).

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

51707566100 is a wasteful number, since it uses less digits than its factorization.

51707566100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13865 (or 13858 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 38.

The spelling of 51707566100 in words is "fifty-one billion, seven hundred seven million, five hundred sixty-six thousand, one hundred".