90558863136 has 360 divisors, whose sum is σ = 311457484800. Its totient is φ = 25736755968.

The previous prime is 90558863077. The next prime is 90558863149. The reversal of 90558863136 is 63136885509.

90558863136 is a `hidden beast` number, since 9 + 0 + 558 + 86 + 3 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25272801 + ... + 25276383.

It is an arithmetic number, because the mean of its divisors is an integer number (865159680).

Almost surely, 2^90558863136 is an apocalyptic number.

90558863136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90558863136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155728742400).

90558863136 is an abundant number, since it is smaller than the sum of its proper divisors (220898621664).

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

90558863136 is a wasteful number, since it uses less digits than its factorization.

90558863136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 90558863136 in words is "ninety billion, five hundred fifty-eight million, eight hundred sixty-three thousand, one hundred thirty-six".