90111996659520 has 3360 divisors, whose sum is σ = 386509839851520. Its totient is φ = 19849643827200.

The previous prime is 90111996659459. The next prime is 90111996659533. The reversal of 90111996659520 is 2595669911109.

90111996659520 is a `hidden beast` number, since 9 + 0 + 1 + 1 + 19 + 9 + 6 + 6 + 595 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 131935573099 + ... + 131935573781.

It is an arithmetic number, because the mean of its divisors is an integer number (115032690432).

Almost surely, 2^{90111996659520} is an apocalyptic number.

90111996659520 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 90111996659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193254919925760).

90111996659520 is an abundant number, since it is smaller than the sum of its proper divisors (296397843192000).

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

90111996659520 is a wasteful number, since it uses less digits than its factorization.

90111996659520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 11809800, while the sum is 63.

The spelling of 90111996659520 in words is "ninety trillion, one hundred eleven billion, nine hundred ninety-six million, six hundred fifty-nine thousand, five hundred twenty".