90300225600 has 420 divisors, whose sum is σ = 357459962244. Its totient is φ = 22227333120.

The previous prime is 90300225577. The next prime is 90300225611. The reversal of 90300225600 is 652200309.

90300225600 is a `hidden beast` number, since 9 + 0 + 30 + 0 + 2 + 25 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 760435776 + 89539789824 = 27576^2 + 299232^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1658002 + ... + 1711598.

Almost surely, 2^90300225600 is an apocalyptic number.

90300225600 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 90300225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178729981122).

90300225600 is an abundant number, since it is smaller than the sum of its proper divisors (267159736644).

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

90300225600 is a wasteful number, since it uses less digits than its factorization.

90300225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53644 (or 53620 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 90300225600 its reverse (652200309), we get a palindrome (90952425909).

The spelling of 90300225600 in words is "ninety billion, three hundred million, two hundred twenty-five thousand, six hundred".