89255116800 has 306 divisors, whose sum is σ = 319782045102. Its totient is φ = 23797432320.

The previous prime is 89255116757. The next prime is 89255116831. The reversal of 89255116800 is 861155298.

It is a happy number.

89255116800 is a `hidden beast` number, since 8 + 9 + 2 + 551 + 16 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2359296 + 89252757504 = 1536^2 + 298752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14742574 + ... + 14748626.

Almost surely, 2^89255116800 is an apocalyptic number.

89255116800 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 89255116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159891022551).

89255116800 is an abundant number, since it is smaller than the sum of its proper divisors (230526928302).

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

89255116800 is an equidigital number, since it uses as much as digits as its factorization.

89255116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 89255116800 in words is "eighty-nine billion, two hundred fifty-five million, one hundred sixteen thousand, eight hundred".