82786813636032 has 112 divisors (see below), whose sum is σ = 265503165004800. Its totient is φ = 25086913217280.

The previous prime is 82786813635971. The next prime is 82786813636061. The reversal of 82786813636032 is 23063631868728.

82786813636032 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 6 + 8 + 13 + 6 + 3 + 603 + 2 = 666.

82786813636032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 2177664432 + ... + 2177702447.

Almost surely, 2^{82786813636032} is an apocalyptic number.

It is an amenable number.

82786813636032 is an abundant number, since it is smaller than the sum of its proper divisors (182716351368768).

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

82786813636032 is a wasteful number, since it uses less digits than its factorization.

82786813636032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355366911 (or 4355366895 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 82786813636032 in words is "eighty-two trillion, seven hundred eighty-six billion, eight hundred thirteen million, six hundred thirty-six thousand, thirty-two".