90112896000000 has 2352 divisors, whose sum is σ = 359397462153600. Its totient is φ = 21653913600000.

The previous prime is 90112895999923. The next prime is 90112896000079. The reversal of 90112896000000 is 69821109.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 503423999911 + ... + 503424000089.

Almost surely, 2^{90112896000000} is an apocalyptic number.

90112896000000 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 90112896000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179698731076800).

90112896000000 is an abundant number, since it is smaller than the sum of its proper divisors (269284566153600).

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

90112896000000 is an equidigital number, since it uses as much as digits as its factorization.

90112896000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 90112896000000 in words is "ninety trillion, one hundred twelve billion, eight hundred ninety-six million", and thus it is an aban number.