83059582464 has 200 divisors, whose sum is σ = 262496210328. Its totient is φ = 26057687040.

The previous prime is 83059582453. The next prime is 83059582469. The reversal of 83059582464 is 46428595038.

83059582464 is a `hidden beast` number, since 8 + 3 + 0 + 59 + 582 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×83059582464² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83059582464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83059582469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 646119 + ... + 763929.

Almost surely, 2^83059582464 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 83059582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131248105164).

83059582464 is an abundant number, since it is smaller than the sum of its proper divisors (179436627864).

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

83059582464 is a wasteful number, since it uses less digits than its factorization.

83059582464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117858 (or 117833 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 83059582464 in words is "eighty-three billion, fifty-nine million, five hundred eighty-two thousand, four hundred sixty-four".