89952588960 has 288 divisors, whose sum is σ = 307431391680. Its totient is φ = 22098345984.

The previous prime is 89952588959. The next prime is 89952588997. The reversal of 89952588960 is 6988525998.

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 47 ways as a sum of consecutive naturals, for example, 63840736 + ... + 63842144.

It is an arithmetic number, because the mean of its divisors is an integer number (1067470110).

Almost surely, 2^89952588960 is an apocalyptic number.

89952588960 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 89952588960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153715695840).

89952588960 is an abundant number, since it is smaller than the sum of its proper divisors (217478802720).

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

89952588960 is a wasteful number, since it uses less digits than its factorization.

89952588960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 69.

The spelling of 89952588960 in words is "eighty-nine billion, nine hundred fifty-two million, five hundred eighty-eight thousand, nine hundred sixty".