90297829800 has 288 divisors, whose sum is σ = 317965452480. Its totient is φ = 22921113600.

The previous prime is 90297829703. The next prime is 90297829847. The reversal of 90297829800 is 892879209.

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, 8730232 + ... + 8740568.

It is an arithmetic number, because the mean of its divisors is an integer number (1104046710).

Almost surely, 2^90297829800 is an apocalyptic number.

90297829800 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 90297829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158982726240).

90297829800 is an abundant number, since it is smaller than the sum of its proper divisors (227667622680).

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

90297829800 is a wasteful number, since it uses less digits than its factorization.

90297829800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10593 (or 10581 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 90297829800 in words is "ninety billion, two hundred ninety-seven million, eight hundred twenty-nine thousand, eight hundred".