90666125568 has 432 divisors, whose sum is σ = 289273420800. Its totient is φ = 27184988160.

The previous prime is 90666125549. The next prime is 90666125609. The reversal of 90666125568 is 86552166609.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108064093 + ... + 108064931.

It is an arithmetic number, because the mean of its divisors is an integer number (669614400).

Almost surely, 2^90666125568 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 90666125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144636710400).

90666125568 is an abundant number, since it is smaller than the sum of its proper divisors (198607295232).

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

90666125568 is a wasteful number, since it uses less digits than its factorization.

90666125568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 981 counting only the distinct ones).

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

The spelling of 90666125568 in words is "ninety billion, six hundred sixty-six million, one hundred twenty-five thousand, five hundred sixty-eight".