82646795520 has 432 divisors, whose sum is σ = 291640986000. Its totient is φ = 21605253120.

The previous prime is 82646795513. The next prime is 82646795527. The reversal of 82646795520 is 2559764628.

82646795520 is a `hidden beast` number, since 8 + 2 + 6 + 46 + 79 + 5 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (82646795513) and next prime (82646795527).

It can be written as a sum of positive squares in 8 ways, for example, as 19456902144 + 63189893376 = 139488^2 + 251376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82646795527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152766450 + ... + 152766990.

It is an arithmetic number, because the mean of its divisors is an integer number (675094875).

Almost surely, 2^82646795520 is an apocalyptic number.

82646795520 is a gapful number since it is divisible by the number (80) 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 82646795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145820493000).

82646795520 is an abundant number, since it is smaller than the sum of its proper divisors (208994190480).

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

82646795520 is a wasteful number, since it uses less digits than its factorization.

82646795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 82646795520 in words is "eighty-two billion, six hundred forty-six million, seven hundred ninety-five thousand, five hundred twenty".