90868075119360 has 3456 divisors, whose sum is σ = 436762953446400. Its totient is φ = 17637849169920.

The previous prime is 90868075119331. The next prime is 90868075119383. The reversal of 90868075119360 is 6391157086809.

90868075119360 is a `hidden beast` number, since 9 + 0 + 8 + 6 + 80 + 7 + 511 + 9 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25836812322 + ... + 25836815838.

It is an arithmetic number, because the mean of its divisors is an integer number (126378169400).

Almost surely, 2^{90868075119360} is an apocalyptic number.

90868075119360 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 90868075119360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218381476723200).

90868075119360 is an abundant number, since it is smaller than the sum of its proper divisors (345894878327040).

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

90868075119360 is a wasteful number, since it uses less digits than its factorization.

90868075119360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 90868075119360 in words is "ninety trillion, eight hundred sixty-eight billion, seventy-five million, one hundred nineteen thousand, three hundred sixty".