82355322610407 has 64 divisors (see below), whose sum is σ = 140605321780224. Its totient is φ = 41624856253440.

The previous prime is 82355322610399. The next prime is 82355322610409. The reversal of 82355322610407 is 70401622355328.

It is not a de Polignac number, because 82355322610407 - 2³ = 82355322610399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82355322610409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 711539713 + ... + 711655445.

It is an arithmetic number, because the mean of its divisors is an integer number (2196958152816).

Almost surely, 2^{82355322610407} is an apocalyptic number.

82355322610407 is a deficient number, since it is larger than the sum of its proper divisors (58249999169817).

82355322610407 is a wasteful number, since it uses less digits than its factorization.

82355322610407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199048.

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 82355322610407 in words is "eighty-two trillion, three hundred fifty-five billion, three hundred twenty-two million, six hundred ten thousand, four hundred seven".