90850590801 has 48 divisors (see below), whose sum is σ = 140783550336. Its totient is φ = 56308462848.

The previous prime is 90850590781. The next prime is 90850590811. The reversal of 90850590801 is 10809505809.

90850590801 is a `hidden beast` number, since 9 + 0 + 8 + 50 + 590 + 8 + 0 + 1 = 666.

It is not a de Polignac number, because 90850590801 - 2⁶ = 90850590737 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90850590811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7906006 + ... + 7917488.

It is an arithmetic number, because the mean of its divisors is an integer number (2932990632).

Almost surely, 2^90850590801 is an apocalyptic number.

It is an amenable number.

90850590801 is a deficient number, since it is larger than the sum of its proper divisors (49932959535).

90850590801 is a wasteful number, since it uses less digits than its factorization.

90850590801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12582 (or 12579 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 90850590801 in words is "ninety billion, eight hundred fifty million, five hundred ninety thousand, eight hundred one".