82518564725760 has 352 divisors, whose sum is σ = 268484223659904. Its totient is φ = 21625896960000.

The previous prime is 82518564725743. The next prime is 82518564725777. The reversal of 82518564725760 is 6752746581528.

It is an interprime number because it is at equal distance from previous prime (82518564725743) and next prime (82518564725777).

It is a junction number, because it is equal to n+sod(n) for n = 82518564725691 and 82518564725700.

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, 1125252295 + ... + 1125325625.

Almost surely, 2^{82518564725760} is an apocalyptic number.

82518564725760 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 82518564725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134242111829952).

82518564725760 is an abundant number, since it is smaller than the sum of its proper divisors (185965658934144).

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

82518564725760 is a wasteful number, since it uses less digits than its factorization.

82518564725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74621 (or 74603 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 66.

The spelling of 82518564725760 in words is "eighty-two trillion, five hundred eighteen billion, five hundred sixty-four million, seven hundred twenty-five thousand, seven hundred sixty".