83086088068038 has 128 divisors (see below), whose sum is σ = 182377044495360. Its totient is φ = 25025658808320.

The previous prime is 83086088067977. The next prime is 83086088068069.

83086088068038 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83086088068038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10055192295 + ... + 10055200557.

It is an arithmetic number, because the mean of its divisors is an integer number (1424820660120).

Almost surely, 2^{83086088068038} is an apocalyptic number.

83086088068038 is an abundant number, since it is smaller than the sum of its proper divisors (99290956427322).

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

83086088068038 is a wasteful number, since it uses less digits than its factorization.

83086088068038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9982.

The product of its (nonzero) digits is 84934656, while the sum is 66.

The spelling of 83086088068038 in words is "eighty-three trillion, eighty-six billion, eighty-eight million, sixty-eight thousand, thirty-eight".