82557755552500 has 60 divisors (see below), whose sum is σ = 180700098786900. Its totient is φ = 32993323744000.

The previous prime is 82557755552497. The next prime is 82557755552581. The reversal of 82557755552500 is 525555775528.

It can be written as a sum of positive squares in 10 ways, for example, as 65236410532836 + 17321345019664 = 8076906^2 + 4161892^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12116185 + ... + 17661184.

It is an arithmetic number, because the mean of its divisors is an integer number (3011668313115).

Almost surely, 2^{82557755552500} is an apocalyptic number.

It is an amenable number.

82557755552500 is an abundant number, since it is smaller than the sum of its proper divisors (98142343234400).

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

82557755552500 is a wasteful number, since it uses less digits than its factorization.

82557755552500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29778502 (or 29778485 counting only the distinct ones).

The product of its (nonzero) digits is 122500000, while the sum is 61.

The spelling of 82557755552500 in words is "eighty-two trillion, five hundred fifty-seven billion, seven hundred fifty-five million, five hundred fifty-two thousand, five hundred".