90113525600 has 144 divisors (see below), whose sum is σ = 256161292128. Its totient is φ = 30313021440.

The previous prime is 90113525597. The next prime is 90113525617. The reversal of 90113525600 is 652531109.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144992 + ... + 448608.

It is an arithmetic number, because the mean of its divisors is an integer number (1778897862).

Almost surely, 2^90113525600 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 90113525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128080646064).

90113525600 is an abundant number, since it is smaller than the sum of its proper divisors (166047766528).

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

90113525600 is a wasteful number, since it uses less digits than its factorization.

90113525600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303697 (or 303684 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The spelling of 90113525600 in words is "ninety billion, one hundred thirteen million, five hundred twenty-five thousand, six hundred".