90997382400 has 432 divisors, whose sum is σ = 322091884800. Its totient is φ = 22543073280.

The previous prime is 90997382341. The next prime is 90997382447. The reversal of 90997382400 is 428379909.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 25783836 + ... + 25787364.

Almost surely, 2^90997382400 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 90997382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161045942400).

90997382400 is an abundant number, since it is smaller than the sum of its proper divisors (231094502400).

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

90997382400 is a wasteful number, since it uses less digits than its factorization.

90997382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 90997382400 in words is "ninety billion, nine hundred ninety-seven million, three hundred eighty-two thousand, four hundred".