90135883557 has 48 divisors (see below), whose sum is σ = 144030102528. Its totient is φ = 54120337920.

The previous prime is 90135883553. The next prime is 90135883613. The reversal of 90135883557 is 75538853109.

90135883557 is a `hidden beast` number, since 9 + 0 + 1 + 3 + 5 + 8 + 83 + 557 = 666.

It is not a de Polignac number, because 90135883557 - 2² = 90135883553 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90135883553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47613 + ... + 427245.

It is an arithmetic number, because the mean of its divisors is an integer number (3000627136).

Almost surely, 2^90135883557 is an apocalyptic number.

It is an amenable number.

90135883557 is a deficient number, since it is larger than the sum of its proper divisors (53894218971).

90135883557 is a wasteful number, since it uses less digits than its factorization.

90135883557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379730 (or 379727 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 90135883557 in words is "ninety billion, one hundred thirty-five million, eight hundred eighty-three thousand, five hundred fifty-seven".