90905979984 has 80 divisors (see below), whose sum is σ = 242299700160. Its totient is φ = 29350149120.

The previous prime is 90905979973. The next prime is 90905980003. The reversal of 90905979984 is 48997950909.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107394 + ... + 439710.

It is an arithmetic number, because the mean of its divisors is an integer number (3028746252).

Almost surely, 2^90905979984 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 90905979984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121149850080).

90905979984 is an abundant number, since it is smaller than the sum of its proper divisors (151393720176).

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

90905979984 is a wasteful number, since it uses less digits than its factorization.

90905979984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332508 (or 332502 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 69.

The spelling of 90905979984 in words is "ninety billion, nine hundred five million, nine hundred seventy-nine thousand, nine hundred eighty-four".