89181871200 has 216 divisors, whose sum is σ = 314656845048. Its totient is φ = 23768279040.

The previous prime is 89181871193. The next prime is 89181871223. The reversal of 89181871200 is 217818198.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23448499 + ... + 23452301.

It is an arithmetic number, because the mean of its divisors is an integer number (1456744653).

Almost surely, 2^89181871200 is an apocalyptic number.

89181871200 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 89181871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157328422524).

89181871200 is an abundant number, since it is smaller than the sum of its proper divisors (225474973848).

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

89181871200 is a wasteful number, since it uses less digits than its factorization.

89181871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 7070 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 89181871200 in words is "eighty-nine billion, one hundred eighty-one million, eight hundred seventy-one thousand, two hundred".