89943235200 has 576 divisors, whose sum is σ = 395012217600. Its totient is φ = 18976481280.

The previous prime is 89943235199. The next prime is 89943235211. The reversal of 89943235200 is 253234998.

It is a happy number.

89943235200 is a `hidden beast` number, since 8 + 9 + 9 + 432 + 3 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2603641 + ... + 2637959.

It is an arithmetic number, because the mean of its divisors is an integer number (685785100).

Almost surely, 2^89943235200 is an apocalyptic number.

89943235200 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 89943235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197506108800).

89943235200 is an abundant number, since it is smaller than the sum of its proper divisors (305068982400).

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

89943235200 is a wasteful number, since it uses less digits than its factorization.

89943235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34369 (or 34349 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 89943235200 in words is "eighty-nine billion, nine hundred forty-three million, two hundred thirty-five thousand, two hundred".