82388624656 has 160 divisors (see below), whose sum is σ = 178908549120. Its totient is φ = 36516759552.

The previous prime is 82388624627. The next prime is 82388624683. The reversal of 82388624656 is 65642688328.

It is a super-2 number, since 2×82388624656² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82388624656.

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, 116203630 + ... + 116204338.

It is an arithmetic number, because the mean of its divisors is an integer number (1118178432).

Almost surely, 2^82388624656 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 82388624656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89454274560).

82388624656 is an abundant number, since it is smaller than the sum of its proper divisors (96519924464).

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

82388624656 is a wasteful number, since it uses less digits than its factorization.

82388624656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 58.

The spelling of 82388624656 in words is "eighty-two billion, three hundred eighty-eight million, six hundred twenty-four thousand, six hundred fifty-six".