90199546920 has 512 divisors, whose sum is σ = 356659200000. Its totient is φ = 20262686976.

The previous prime is 90199546901. The next prime is 90199546937. The reversal of 90199546920 is 2964599109.

90199546920 is a `hidden beast` number, since 9 + 0 + 1 + 9 + 9 + 546 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21853897 + ... + 21858023.

It is an arithmetic number, because the mean of its divisors is an integer number (696600000).

Almost surely, 2^90199546920 is an apocalyptic number.

90199546920 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 90199546920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178329600000).

90199546920 is an abundant number, since it is smaller than the sum of its proper divisors (266459653080).

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

90199546920 is a wasteful number, since it uses less digits than its factorization.

90199546920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 90199546920 in words is "ninety billion, one hundred ninety-nine million, five hundred forty-six thousand, nine hundred twenty".