83512584828656 has 160 divisors (see below), whose sum is σ = 171636531130368. Its totient is φ = 39282286883840.

The previous prime is 83512584828637. The next prime is 83512584828661. The reversal of 83512584828656 is 65682848521538.

It is a Harshad number since it is a multiple of its sum of digits (71).

It is a self number, because there is not a number n which added to its sum of digits gives 83512584828656.

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, 28531800665 + ... + 28531803591.

Almost surely, 2^{83512584828656} 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 83512584828656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85818265565184).

83512584828656 is an abundant number, since it is smaller than the sum of its proper divisors (88123946301712).

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

83512584828656 is a wasteful number, since it uses less digits than its factorization.

83512584828656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5313 counting only the distinct ones).

The product of its digits is 884736000, while the sum is 71.

The spelling of 83512584828656 in words is "eighty-three trillion, five hundred twelve billion, five hundred eighty-four million, eight hundred twenty-eight thousand, six hundred fifty-six".