89929921800 has 288 divisors, whose sum is σ = 309036024000. Its totient is φ = 21588357120.

The previous prime is 89929921733. The next prime is 89929921849. The reversal of 89929921800 is 812992998.

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 71 ways as a sum of consecutive naturals, for example, 3976926 + ... + 3999474.

It is an arithmetic number, because the mean of its divisors is an integer number (1073041750).

Almost surely, 2^89929921800 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 89929921800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154518012000).

89929921800 is an abundant number, since it is smaller than the sum of its proper divisors (219106102200).

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

89929921800 is a wasteful number, since it uses less digits than its factorization.

89929921800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22625 (or 22599 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 57.

The spelling of 89929921800 in words is "eighty-nine billion, nine hundred twenty-nine million, nine hundred twenty-one thousand, eight hundred".