89966956800 has 864 divisors, whose sum is σ = 351318403072. Its totient is φ = 19853475840.

The previous prime is 89966956799. The next prime is 89966956813. The reversal of 89966956800 is 865966998.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 873465549 + ... + 873465651.

Almost surely, 2^89966956800 is an apocalyptic number.

89966956800 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 89966956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175659201536).

89966956800 is an abundant number, since it is smaller than the sum of its proper divisors (261351446272).

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

89966956800 is a wasteful number, since it uses less digits than its factorization.

89966956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 66.

The spelling of 89966956800 in words is "eighty-nine billion, nine hundred sixty-six million, nine hundred fifty-six thousand, eight hundred".