82517407776 has 96 divisors (see below), whose sum is σ = 240754248000. Its totient is φ = 27496834560.

The previous prime is 82517407727. The next prime is 82517407787. The reversal of 82517407776 is 67770471528.

82517407776 is a `hidden beast` number, since 82 + 517 + 40 + 7 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2966091 + ... + 2993781.

It is an arithmetic number, because the mean of its divisors is an integer number (2507856750).

Almost surely, 2^82517407776 is an apocalyptic number.

It is an amenable number.

82517407776 is an abundant number, since it is smaller than the sum of its proper divisors (158236840224).

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

82517407776 is a wasteful number, since it uses less digits than its factorization.

82517407776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31159 (or 31145 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 82517407776 in words is "eighty-two billion, five hundred seventeen million, four hundred seven thousand, seven hundred seventy-six".