90108295200 has 1728 divisors, whose sum is σ = 421173043200. Its totient is φ = 17950464000.

The previous prime is 90108295183. The next prime is 90108295223. The reversal of 90108295200 is 259280109.

90108295200 is a `hidden beast` number, since 9 + 0 + 108 + 29 + 520 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 842133547 + ... + 842133653.

It is an arithmetic number, because the mean of its divisors is an integer number (243734400).

Almost surely, 2^90108295200 is an apocalyptic number.

90108295200 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 90108295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210586521600).

90108295200 is an abundant number, since it is smaller than the sum of its proper divisors (331064748000).

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

90108295200 is a wasteful number, since it uses less digits than its factorization.

90108295200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 90108295200 in words is "ninety billion, one hundred eight million, two hundred ninety-five thousand, two hundred".