90537115200 has 336 divisors, whose sum is σ = 346699905024. Its totient is φ = 20253542400.

The previous prime is 90537115187. The next prime is 90537115219. The reversal of 90537115200 is 251173509.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1550535 + ... + 1607865.

Almost surely, 2^90537115200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90537115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173349952512).

90537115200 is an abundant number, since it is smaller than the sum of its proper divisors (256162789824).

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

90537115200 is a wasteful number, since it uses less digits than its factorization.

90537115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57410 (or 57395 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

Adding to 90537115200 its reverse (251173509), we get a palindrome (90788288709).

The spelling of 90537115200 in words is "ninety billion, five hundred thirty-seven million, one hundred fifteen thousand, two hundred".