90125333296000 has 256 divisors, whose sum is σ = 241358959595520. Its totient is φ = 33370385664000.

The previous prime is 90125333295983. The next prime is 90125333296067. The reversal of 90125333296000 is 69233352109.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7457907 + ... + 15358093.

It is an arithmetic number, because the mean of its divisors is an integer number (942808435920).

Almost surely, 2^{90125333296000} 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 90125333296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120679479797760).

90125333296000 is an abundant number, since it is smaller than the sum of its proper divisors (151233626299520).

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

90125333296000 is a wasteful number, since it uses less digits than its factorization.

90125333296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900270 (or 7900248 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 43.

The spelling of 90125333296000 in words is "ninety trillion, one hundred twenty-five billion, three hundred thirty-three million, two hundred ninety-six thousand".