83599056064 has 112 divisors (see below), whose sum is σ = 179050346496. Its totient is φ = 38614118400.

The previous prime is 83599056017. The next prime is 83599056071. The reversal of 83599056064 is 46065099538.

It is a junction number, because it is equal to n+sod(n) for n = 83599055996 and 83599056014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26784424 + ... + 26787544.

It is an arithmetic number, because the mean of its divisors is an integer number (1598663808).

Almost surely, 2^83599056064 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 83599056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89525173248).

83599056064 is an abundant number, since it is smaller than the sum of its proper divisors (95451290432).

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

83599056064 is a wasteful number, since it uses less digits than its factorization.

83599056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 83599056064 in words is "eighty-three billion, five hundred ninety-nine million, fifty-six thousand, sixty-four".