82540680516 has 216 divisors, whose sum is σ = 260612142336. Its totient is φ = 21882631680.

The previous prime is 82540680457. The next prime is 82540680529. The reversal of 82540680516 is 61508604528.

82540680516 is a `hidden beast` number, since 8 + 2 + 54 + 0 + 6 + 80 + 516 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2109765 + ... + 2148531.

It is an arithmetic number, because the mean of its divisors is an integer number (1206537696).

Almost surely, 2^82540680516 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 82540680516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130306071168).

82540680516 is an abundant number, since it is smaller than the sum of its proper divisors (178071461820).

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

82540680516 is a wasteful number, since it uses less digits than its factorization.

82540680516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38879 (or 38867 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 82540680516 in words is "eighty-two billion, five hundred forty million, six hundred eighty thousand, five hundred sixteen".