82507293632 has 56 divisors (see below), whose sum is σ = 166932223920. Its totient is φ = 40453447680.

The previous prime is 82507293619. The next prime is 82507293637. The reversal of 82507293632 is 23639270528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82507293637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615707 + ... + 737637.

It is an arithmetic number, because the mean of its divisors is an integer number (2980932570).

Almost surely, 2^82507293632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82507293632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83466111960).

82507293632 is an abundant number, since it is smaller than the sum of its proper divisors (84424930288).

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

82507293632 is a wasteful number, since it uses less digits than its factorization.

82507293632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122149 (or 122139 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 82507293632 in words is "eighty-two billion, five hundred seven million, two hundred ninety-three thousand, six hundred thirty-two".