82131978720 has 96 divisors (see below), whose sum is σ = 282235363200. Its totient is φ = 19910781440.

The previous prime is 82131978701. The next prime is 82131978787. The reversal of 82131978720 is 2787913128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 82131978720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7772370 + ... + 7782929.

It is an arithmetic number, because the mean of its divisors is an integer number (2939951700).

Almost surely, 2^82131978720 is an apocalyptic number.

82131978720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82131978720 is an abundant number, since it is smaller than the sum of its proper divisors (200103384480).

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

82131978720 is a wasteful number, since it uses less digits than its factorization.

82131978720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15555328 (or 15555320 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 82131978720 in words is "eighty-two billion, one hundred thirty-one million, nine hundred seventy-eight thousand, seven hundred twenty".