82566739246560 has 96 divisors (see below), whose sum is σ = 260411560107552. Its totient is φ = 21990171187200.

The previous prime is 82566739246543. The next prime is 82566739246637. The reversal of 82566739246560 is 6564293766528.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107530891 + ... + 108296010.

It is an arithmetic number, because the mean of its divisors is an integer number (2712620417787).

Almost surely, 2^{82566739246560} is an apocalyptic number.

82566739246560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82566739246560 is an abundant number, since it is smaller than the sum of its proper divisors (177844820860992).

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

82566739246560 is a wasteful number, since it uses less digits than its factorization.

82566739246560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215827716 (or 215827708 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 69.

The spelling of 82566739246560 in words is "eighty-two trillion, five hundred sixty-six billion, seven hundred thirty-nine million, two hundred forty-six thousand, five hundred sixty".