89812195200 has 768 divisors, whose sum is σ = 404574105600. Its totient is φ = 18947727360.

The previous prime is 89812195183. The next prime is 89812195211. The reversal of 89812195200 is 259121898.

It is a super-3 number, since 3×89812195200³ (a number of 34 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 7856689 + ... + 7868111.

It is an arithmetic number, because the mean of its divisors is an integer number (526789200).

Almost surely, 2^89812195200 is an apocalyptic number.

89812195200 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 89812195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202287052800).

89812195200 is an abundant number, since it is smaller than the sum of its proper divisors (314761910400).

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

89812195200 is a wasteful number, since it uses less digits than its factorization.

89812195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11476 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 89812195200 in words is "eighty-nine billion, eight hundred twelve million, one hundred ninety-five thousand, two hundred".