90077932592661 has 16 divisors (see below), whose sum is σ = 129366100149440. Its totient is φ = 55422533456640.

The previous prime is 90077932592633. The next prime is 90077932592701. The reversal of 90077932592661 is 16629523977009.

It is not a de Polignac number, because 90077932592661 - 2⁵ = 90077932592629 is a prime.

It is a super-2 number, since 2×90077932592661² (a number of 29 digits) contains 22 as substring.

It is the 9490940-th Hogben number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90077932592592 and 90077932592601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90077932592161) by changing a digit.

It is a nontrivial repunit in base 9490939.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208957891 + ... + 209388528.

It is an arithmetic number, because the mean of its divisors is an integer number (8085381259340).

Almost surely, 2^{90077932592661} is an apocalyptic number.

It is an amenable number.

90077932592661 is a deficient number, since it is larger than the sum of its proper divisors (39288167556779).

90077932592661 is a wasteful number, since it uses less digits than its factorization.

90077932592661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418351956.

The product of its (nonzero) digits is 77157360, while the sum is 66.

The spelling of 90077932592661 in words is "ninety trillion, seventy-seven billion, nine hundred thirty-two million, five hundred ninety-two thousand, six hundred sixty-one".