90113128560 has 1440 divisors, whose sum is σ = 414933442560. Its totient is φ = 17965172736.

The previous prime is 90113128549. The next prime is 90113128621. The reversal of 90113128560 is 6582131109.

90113128560 is a `hidden beast` number, since 90 + 1 + 1 + 3 + 1 + 2 + 8 + 560 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 235282129 + ... + 235282511.

It is an arithmetic number, because the mean of its divisors is an integer number (288148224).

Almost surely, 2^90113128560 is an apocalyptic number.

90113128560 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 90113128560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207466721280).

90113128560 is an abundant number, since it is smaller than the sum of its proper divisors (324820314000).

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

90113128560 is a wasteful number, since it uses less digits than its factorization.

90113128560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 90113128560 its reverse (6582131109), we get a palindrome (96695259669).

The spelling of 90113128560 in words is "ninety billion, one hundred thirteen million, one hundred twenty-eight thousand, five hundred sixty".