89974201800 has 288 divisors, whose sum is σ = 324927551520. Its totient is φ = 20535782400.

The previous prime is 89974201787. The next prime is 89974201841. The reversal of 89974201800 is 810247998.

It is a self number, because there is not a number n which added to its sum of digits gives 89974201800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25194015 + ... + 25197585.

It is an arithmetic number, because the mean of its divisors is an integer number (1128220665).

Almost surely, 2^89974201800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89974201800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162463775760).

89974201800 is an abundant number, since it is smaller than the sum of its proper divisors (234953349720).

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

89974201800 is a wasteful number, since it uses less digits than its factorization.

89974201800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 89974201800 in words is "eighty-nine billion, nine hundred seventy-four million, two hundred one thousand, eight hundred".