82577550328032 has 96 divisors (see below), whose sum is σ = 220152037946400. Its totient is φ = 27099155578880.

The previous prime is 82577550327949. The next prime is 82577550328033. The reversal of 82577550328032 is 23082305577528.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82577550328033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23928069 + ... + 27160772.

It is an arithmetic number, because the mean of its divisors is an integer number (2293250395275).

Almost surely, 2^{82577550328032} is an apocalyptic number.

It is an amenable number.

82577550328032 is an abundant number, since it is smaller than the sum of its proper divisors (137574487618368).

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

82577550328032 is a wasteful number, since it uses less digits than its factorization.

82577550328032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51089116 (or 51089108 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 57.

The spelling of 82577550328032 in words is "eighty-two trillion, five hundred seventy-seven billion, five hundred fifty million, three hundred twenty-eight thousand, thirty-two".