89114916800 has 756 divisors, whose sum is σ = 286862733360. Its totient is φ = 26674053120.

The previous prime is 89114916797. The next prime is 89114916829. The reversal of 89114916800 is 861941198.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1001291156 + ... + 1001291244.

It is an arithmetic number, because the mean of its divisors is an integer number (379448060).

Almost surely, 2^89114916800 is an apocalyptic number.

89114916800 is a gapful number since it is divisible by the number (80) 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 89114916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143431366680).

89114916800 is an abundant number, since it is smaller than the sum of its proper divisors (197747816560).

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

89114916800 is a wasteful number, since it uses less digits than its factorization.

89114916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 47.

The spelling of 89114916800 in words is "eighty-nine billion, one hundred fourteen million, nine hundred sixteen thousand, eight hundred".