82577611656 has 96 divisors (see below), whose sum is σ = 236938141440. Its totient is φ = 25891966464.

The previous prime is 82577611609. The next prime is 82577611681. The reversal of 82577611656 is 65611677528.

It is a happy number.

82577611656 is a `hidden beast` number, since 8 + 2 + 577 + 6 + 1 + 1 + 65 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2242465 + ... + 2278991.

It is an arithmetic number, because the mean of its divisors is an integer number (2468105640).

Almost surely, 2^82577611656 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 82577611656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118469070720).

82577611656 is an abundant number, since it is smaller than the sum of its proper divisors (154360529784).

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

82577611656 is a wasteful number, since it uses less digits than its factorization.

82577611656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38403 (or 38396 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 82577611656 in words is "eighty-two billion, five hundred seventy-seven million, six hundred eleven thousand, six hundred fifty-six".