90977905557 has 144 divisors (see below), whose sum is σ = 170844935040. Its totient is φ = 45696182400.

The previous prime is 90977905549. The next prime is 90977905559. The reversal of 90977905557 is 75550977909.

90977905557 is a `hidden beast` number, since 9 + 0 + 9 + 7 + 79 + 0 + 5 + 557 = 666.

It is not a de Polignac number, because 90977905557 - 2³ = 90977905549 is a prime.

It is a super-2 number, since 2×90977905557² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 90977905494 and 90977905503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90977905559) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80582169 + ... + 80583297.

It is an arithmetic number, because the mean of its divisors is an integer number (1186423160).

Almost surely, 2^90977905557 is an apocalyptic number.

It is an amenable number.

90977905557 is a deficient number, since it is larger than the sum of its proper divisors (79867029483).

90977905557 is a wasteful number, since it uses less digits than its factorization.

90977905557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 31255875, while the sum is 63.

The spelling of 90977905557 in words is "ninety billion, nine hundred seventy-seven million, nine hundred five thousand, five hundred fifty-seven".