82581215160 has 128 divisors (see below), whose sum is σ = 248797785600. Its totient is φ = 21928158720.

The previous prime is 82581215159. The next prime is 82581215257. The reversal of 82581215160 is 6151218528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50445862 + ... + 50447498.

It is an arithmetic number, because the mean of its divisors is an integer number (1943732700).

Almost surely, 2^82581215160 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 82581215160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124398892800).

82581215160 is an abundant number, since it is smaller than the sum of its proper divisors (166216570440).

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

82581215160 is a wasteful number, since it uses less digits than its factorization.

82581215160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The spelling of 82581215160 in words is "eighty-two billion, five hundred eighty-one million, two hundred fifteen thousand, one hundred sixty".