89932967200 has 288 divisors, whose sum is σ = 231645173760. Its totient is φ = 34049433600.

The previous prime is 89932967191. The next prime is 89932967203. The reversal of 89932967200 is 276923998.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (89932967203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385978284 + ... + 385978516.

It is an arithmetic number, because the mean of its divisors is an integer number (804323520).

Almost surely, 2^89932967200 is an apocalyptic number.

89932967200 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 89932967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115822586880).

89932967200 is an abundant number, since it is smaller than the sum of its proper divisors (141712206560).

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

89932967200 is a wasteful number, since it uses less digits than its factorization.

89932967200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 89932967200 in words is "eighty-nine billion, nine hundred thirty-two million, nine hundred sixty-seven thousand, two hundred".