82512938304 has 224 divisors, whose sum is σ = 248740208640. Its totient is φ = 26809818624.

The previous prime is 82512938269. The next prime is 82512938327. The reversal of 82512938304 is 40383921528.

82512938304 is a `hidden beast` number, since 8 + 2 + 51 + 293 + 8 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82512938304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21357877 + ... + 21361739.

It is an arithmetic number, because the mean of its divisors is an integer number (1110447360).

Almost surely, 2^82512938304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82512938304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124370104320).

82512938304 is an abundant number, since it is smaller than the sum of its proper divisors (166227270336).

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

82512938304 is a wasteful number, since it uses less digits than its factorization.

82512938304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 82512938304 in words is "eighty-two billion, five hundred twelve million, nine hundred thirty-eight thousand, three hundred four".