89883507168 has 504 divisors, whose sum is σ = 328437598608. Its totient is φ = 23698262016.

The previous prime is 89883507151. The next prime is 89883507173. The reversal of 89883507168 is 86170538898.

89883507168 is a `hidden beast` number, since 89 + 88 + 350 + 71 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 27595396 + ... + 27598652.

It is an arithmetic number, because the mean of its divisors is an integer number (651661902).

Almost surely, 2^89883507168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89883507168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164218799304).

89883507168 is an abundant number, since it is smaller than the sum of its proper divisors (238554091440).

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

89883507168 is a wasteful number, since it uses less digits than its factorization.

89883507168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 89883507168 in words is "eighty-nine billion, eight hundred eighty-three million, five hundred seven thousand, one hundred sixty-eight".