82366637101056 has 2080 divisors, whose sum is σ = 315856450990080. Its totient is φ = 20768115916800.

The previous prime is 82366637101019. The next prime is 82366637101097. The reversal of 82366637101056 is 65010173666328.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82366637100993 and 82366637101011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 217326219075 + ... + 217326219453.

It is an arithmetic number, because the mean of its divisors is an integer number (151854062976).

Almost surely, 2^{82366637101056} 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 82366637101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157928225495040).

82366637101056 is an abundant number, since it is smaller than the sum of its proper divisors (233489813889024).

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

82366637101056 is a wasteful number, since it uses less digits than its factorization.

82366637101056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 82366637101056 in words is "eighty-two trillion, three hundred sixty-six billion, six hundred thirty-seven million, one hundred one thousand, fifty-six".