90459187200 has 432 divisors, whose sum is σ = 327119492700. Its totient is φ = 23887872000.

The previous prime is 90459187157. The next prime is 90459187229. The reversal of 90459187200 is 278195409.

It can be written as a sum of positive squares in 6 ways, for example, as 23622460416 + 66836726784 = 153696^2 + 258528^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50226300 + ... + 50228100.

Almost surely, 2^90459187200 is an apocalyptic number.

90459187200 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 90459187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163559746350).

90459187200 is an abundant number, since it is smaller than the sum of its proper divisors (236660305500).

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

90459187200 is a wasteful number, since it uses less digits than its factorization.

90459187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 90459187200 in words is "ninety billion, four hundred fifty-nine million, one hundred eighty-seven thousand, two hundred".