90123535296 has 168 divisors, whose sum is σ = 268261453824. Its totient is φ = 28897067520.

The previous prime is 90123535291. The next prime is 90123535309. The reversal of 90123535296 is 69253532109.

90123535296 is a `hidden beast` number, since 9 + 0 + 1 + 2 + 353 + 5 + 296 = 666.

It is a super-2 number, since 2×90123535296² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90123535291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2966841 + ... + 2997063.

It is an arithmetic number, because the mean of its divisors is an integer number (1596794368).

Almost surely, 2^90123535296 is an apocalyptic number.

90123535296 is a gapful number since it is divisible by the number (96) 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 90123535296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134130726912).

90123535296 is an abundant number, since it is smaller than the sum of its proper divisors (178137918528).

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

90123535296 is a wasteful number, since it uses less digits than its factorization.

90123535296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30439 (or 30426 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 90123535296 in words is "ninety billion, one hundred twenty-three million, five hundred thirty-five thousand, two hundred ninety-six".