90558485136 has 320 divisors, whose sum is σ = 317236838400. Its totient is φ = 24175065600.

The previous prime is 90558485131. The next prime is 90558485179. The reversal of 90558485136 is 63158485509.

90558485136 is a `hidden beast` number, since 9 + 0 + 5 + 584 + 8 + 51 + 3 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (90558485131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2701921 + ... + 2735231.

It is an arithmetic number, because the mean of its divisors is an integer number (991365120).

Almost surely, 2^90558485136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90558485136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158618419200).

90558485136 is an abundant number, since it is smaller than the sum of its proper divisors (226678353264).

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

90558485136 is a wasteful number, since it uses less digits than its factorization.

90558485136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33395 (or 33383 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 90558485136 in words is "ninety billion, five hundred fifty-eight million, four hundred eighty-five thousand, one hundred thirty-six".