90880238113392 has 480 divisors, whose sum is σ = 299590866249024. Its totient is φ = 23523681484800.

The previous prime is 90880238113349. The next prime is 90880238113403. The reversal of 90880238113392 is 29331183208809.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 852313842 + ... + 852420462.

Almost surely, 2^{90880238113392} 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 90880238113392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149795433124512).

90880238113392 is an abundant number, since it is smaller than the sum of its proper divisors (208710628135632).

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

90880238113392 is a wasteful number, since it uses less digits than its factorization.

90880238113392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107177 (or 107164 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 90880238113392 in words is "ninety trillion, eight hundred eighty billion, two hundred thirty-eight million, one hundred thirteen thousand, three hundred ninety-two".