82690522596864 has 1920 divisors, whose sum is σ = 322051137408000. Its totient is φ = 20569464373248.

The previous prime is 82690522596821. The next prime is 82690522596881. The reversal of 82690522596864 is 46869522509628.

82690522596864 is a `hidden beast` number, since 8 + 2 + 6 + 9 + 0 + 5 + 22 + 596 + 8 + 6 + 4 = 666.

It is a super-3 number, since 3×82690522596864³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 82690522596792 and 82690522596801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57866005302 + ... + 57866006730.

It is an arithmetic number, because the mean of its divisors is an integer number (167734967400).

Almost surely, 2^{82690522596864} is an apocalyptic number.

82690522596864 is a gapful number since it is divisible by the number (84) 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 82690522596864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161025568704000).

82690522596864 is an abundant number, since it is smaller than the sum of its proper divisors (239360614811136).

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

82690522596864 is a wasteful number, since it uses less digits than its factorization.

82690522596864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 82690522596864 in words is "eighty-two trillion, six hundred ninety billion, five hundred twenty-two million, five hundred ninety-six thousand, eight hundred sixty-four".