90165973901976 has 256 divisors, whose sum is σ = 287348041728000. Its totient is φ = 25662123630720.

The previous prime is 90165973901893. The next prime is 90165973901989. The reversal of 90165973901976 is 67910937956109.

90165973901976 is a `hidden beast` number, since 9 + 0 + 1 + 65 + 97 + 390 + 1 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2830141135 + ... + 2830172993.

It is an arithmetic number, because the mean of its divisors is an integer number (1122453288000).

Almost surely, 2^{90165973901976} 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 90165973901976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143674020864000).

90165973901976 is an abundant number, since it is smaller than the sum of its proper divisors (197182067826024).

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

90165973901976 is a wasteful number, since it uses less digits than its factorization.

90165973901976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39059 (or 39049 counting only the distinct ones).

The product of its (nonzero) digits is 173604060, while the sum is 72.

The spelling of 90165973901976 in words is "ninety trillion, one hundred sixty-five billion, nine hundred seventy-three million, nine hundred one thousand, nine hundred seventy-six".