90169512576 has 256 divisors, whose sum is σ = 281837162880. Its totient is φ = 25181798400.

The previous prime is 90169512553. The next prime is 90169512577. The reversal of 90169512576 is 67521596109.

It is not an unprimeable number, because it can be changed into a prime (90169512577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55625046 + ... + 55626666.

Almost surely, 2^90169512576 is an apocalyptic number.

90169512576 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 90169512576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140918581440).

90169512576 is an abundant number, since it is smaller than the sum of its proper divisors (191667650304).

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

90169512576 is a wasteful number, since it uses less digits than its factorization.

90169512576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 51.

The spelling of 90169512576 in words is "ninety billion, one hundred sixty-nine million, five hundred twelve thousand, five hundred seventy-six".