90759954384 has 400 divisors, whose sum is σ = 303085601280. Its totient is φ = 25961472000.

The previous prime is 90759954323. The next prime is 90759954391. The reversal of 90759954384 is 48345995709.

90759954384 is a `hidden beast` number, since 9 + 0 + 7 + 5 + 9 + 9 + 543 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18116872 + ... + 18121880.

Almost surely, 2^90759954384 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 90759954384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151542800640).

90759954384 is an abundant number, since it is smaller than the sum of its proper divisors (212325646896).

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

90759954384 is a wasteful number, since it uses less digits than its factorization.

90759954384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 90759954384 in words is "ninety billion, seven hundred fifty-nine million, nine hundred fifty-four thousand, three hundred eighty-four".