89114210000 has 100 divisors (see below), whose sum is σ = 216075911700. Its totient is φ = 35592576000.

The previous prime is 89114209993. The next prime is 89114210021. The reversal of 89114210000 is 1241198.

It can be written as a sum of positive squares in 10 ways, for example, as 56992967824 + 32121242176 = 238732^2 + 179224^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7083716 + ... + 7096284.

It is an arithmetic number, because the mean of its divisors is an integer number (2160759117).

Almost surely, 2^89114210000 is an apocalyptic number.

89114210000 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 89114210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108037955850).

89114210000 is an abundant number, since it is smaller than the sum of its proper divisors (126961701700).

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

89114210000 is a wasteful number, since it uses less digits than its factorization.

89114210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13306 (or 13285 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 89114210000 its reverse (1241198), we get a palindrome (89115451198).

The spelling of 89114210000 in words is "eighty-nine billion, one hundred fourteen million, two hundred ten thousand".