90125897472 has 864 divisors, whose sum is σ = 314272358400. Its totient is φ = 24580620288.

The previous prime is 90125897431. The next prime is 90125897497. The reversal of 90125897472 is 27479852109.

90125897472 is a `hidden beast` number, since 9 + 0 + 12 + 589 + 7 + 47 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 709652673 + ... + 709652799.

Almost surely, 2^90125897472 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 90125897472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157136179200).

90125897472 is an abundant number, since it is smaller than the sum of its proper divisors (224146460928).

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

90125897472 is a wasteful number, since it uses less digits than its factorization.

90125897472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 90125897472 in words is "ninety billion, one hundred twenty-five million, eight hundred ninety-seven thousand, four hundred seventy-two".