82332117504 has 480 divisors, whose sum is σ = 298493395200. Its totient is φ = 21708546048.

The previous prime is 82332117493. The next prime is 82332117523. The reversal of 82332117504 is 40571123328.

82332117504 is a `hidden beast` number, since 8 + 2 + 3 + 32 + 117 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20545069 + ... + 20549075.

It is an arithmetic number, because the mean of its divisors is an integer number (621861240).

Almost surely, 2^82332117504 is an apocalyptic number.

82332117504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82332117504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149246697600).

82332117504 is an abundant number, since it is smaller than the sum of its proper divisors (216161277696).

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

82332117504 is a wasteful number, since it uses less digits than its factorization.

82332117504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 82332117504 in words is "eighty-two billion, three hundred thirty-two million, one hundred seventeen thousand, five hundred four".