82507580802 has 128 divisors (see below), whose sum is σ = 197392204800. Its totient is φ = 25454124288.

The previous prime is 82507580789. The next prime is 82507580839. The reversal of 82507580802 is 20808570528.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13650393 + ... + 13656435.

It is an arithmetic number, because the mean of its divisors is an integer number (1542126600).

Almost surely, 2^82507580802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82507580802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98696102400).

82507580802 is an abundant number, since it is smaller than the sum of its proper divisors (114884623998).

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

82507580802 is a wasteful number, since it uses less digits than its factorization.

82507580802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6317 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 82507580802 in words is "eighty-two billion, five hundred seven million, five hundred eighty thousand, eight hundred two".