89079091200 has 1248 divisors, whose sum is σ = 372959164800. Its totient is φ = 20643840000.

The previous prime is 89079091183. The next prime is 89079091219. The reversal of 89079091200 is 219097098.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 881971150 + ... + 881971250.

Almost surely, 2^89079091200 is an apocalyptic number.

89079091200 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 89079091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186479582400).

89079091200 is an abundant number, since it is smaller than the sum of its proper divisors (283880073600).

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

89079091200 is a wasteful number, since it uses less digits than its factorization.

89079091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 89079091200 in words is "eighty-nine billion, seventy-nine million, ninety-one thousand, two hundred".