90689783104800 has 1728 divisors, whose sum is σ = 375928529034240. Its totient is φ = 20340440064000.

The previous prime is 90689783104799. The next prime is 90689783104807. The reversal of 90689783104800 is 840138798609.

90689783104800 is a `hidden beast` number, since 9 + 0 + 6 + 89 + 78 + 3 + 1 + 0 + 480 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (90689783104807) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11431961634 + ... + 11431969566.

It is an arithmetic number, because the mean of its divisors is an integer number (217551232080).

Almost surely, 2^{90689783104800} is an apocalyptic number.

90689783104800 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 90689783104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187964264517120).

90689783104800 is an abundant number, since it is smaller than the sum of its proper divisors (285238745929440).

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

90689783104800 is a wasteful number, since it uses less digits than its factorization.

90689783104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8167 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 90689783104800 in words is "ninety trillion, six hundred eighty-nine billion, seven hundred eighty-three million, one hundred four thousand, eight hundred".