83131680600 has 72 divisors (see below), whose sum is σ = 279183900060. Its totient is φ = 22168447680.

The previous prime is 83131680587. The next prime is 83131680601. The reversal of 83131680600 is 608613138.

83131680600 is a `hidden beast` number, since 8 + 31 + 3 + 16 + 8 + 0 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83131680601) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 23090334 + ... + 23093933.

Almost surely, 2^83131680600 is an apocalyptic number.

It is an amenable number.

83131680600 is an abundant number, since it is smaller than the sum of its proper divisors (196052219460).

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

83131680600 is a wasteful number, since it uses less digits than its factorization.

83131680600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46184289 (or 46184277 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 83131680600 in words is "eighty-three billion, one hundred thirty-one million, six hundred eighty thousand, six hundred".