82515956292 has 324 divisors, whose sum is σ = 280749902160. Its totient is φ = 20303680320.

The previous prime is 82515956291. The next prime is 82515956317. The reversal of 82515956292 is 29265951528.

82515956292 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 5 + 9 + 5 + 629 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82515956291) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4045263 + ... + 4065609.

Almost surely, 2^82515956292 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 82515956292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140374951080).

82515956292 is an abundant number, since it is smaller than the sum of its proper divisors (198233945868).

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

82515956292 is a wasteful number, since it uses less digits than its factorization.

82515956292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20412 (or 20389 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The spelling of 82515956292 in words is "eighty-two billion, five hundred fifteen million, nine hundred fifty-six thousand, two hundred ninety-two".