89288968000 has 112 divisors (see below), whose sum is σ = 221391016704. Its totient is φ = 35672486400.

The previous prime is 89288967983. The next prime is 89288968007. The reversal of 89288968000 is 86988298.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89288968007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7089709 + ... + 7102291.

Almost surely, 2^89288968000 is an apocalyptic number.

89288968000 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 89288968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110695508352).

89288968000 is an abundant number, since it is smaller than the sum of its proper divisors (132102048704).

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

89288968000 is a wasteful number, since it uses less digits than its factorization.

89288968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13497 (or 13477 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 58.

The spelling of 89288968000 in words is "eighty-nine billion, two hundred eighty-eight million, nine hundred sixty-eight thousand".