90382974040800 has 432 divisors, whose sum is σ = 366073794777600. Its totient is φ = 20555149317120.

The previous prime is 90382974040781. The next prime is 90382974040817. The reversal of 90382974040800 is 804047928309.

90382974040800 is a `hidden beast` number, since 90 + 3 + 82 + 9 + 74 + 0 + 408 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5523789 + ... + 14535411.

Almost surely, 2^{90382974040800} is an apocalyptic number.

90382974040800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90382974040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183036897388800).

90382974040800 is an abundant number, since it is smaller than the sum of its proper divisors (275690820736800).

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

90382974040800 is a wasteful number, since it uses less digits than its factorization.

90382974040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9011855 (or 9011839 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 90382974040800 in words is "ninety trillion, three hundred eighty-two billion, nine hundred seventy-four million, forty thousand, eight hundred".