90327182400 has 2352 divisors, whose sum is σ = 439540034304. Its totient is φ = 17736744960.

The previous prime is 90327182357. The next prime is 90327182417. The reversal of 90327182400 is 428172309.

90327182400 is a `hidden beast` number, since 90 + 327 + 1 + 8 + 240 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2441275182 + ... + 2441275218.

Almost surely, 2^90327182400 is an apocalyptic number.

90327182400 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 90327182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219770017152).

90327182400 is an abundant number, since it is smaller than the sum of its proper divisors (349212851904).

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

90327182400 is a wasteful number, since it uses less digits than its factorization.

90327182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 90327182400 in words is "ninety billion, three hundred twenty-seven million, one hundred eighty-two thousand, four hundred".