90194227200 has 1872 divisors, whose sum is σ = 425904740352. Its totient is φ = 17694720000.

The previous prime is 90194227199. The next prime is 90194227219. The reversal of 90194227200 is 272249109.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2199859180 + ... + 2199859220.

It is an arithmetic number, because the mean of its divisors is an integer number (227513216).

Almost surely, 2^90194227200 is an apocalyptic number.

90194227200 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 90194227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212952370176).

90194227200 is an abundant number, since it is smaller than the sum of its proper divisors (335710513152).

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

90194227200 is a wasteful number, since it uses less digits than its factorization.

90194227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 90194227200 in words is "ninety billion, one hundred ninety-four million, two hundred twenty-seven thousand, two hundred".