89968366800 has 1080 divisors, whose sum is σ = 366160835040. Its totient is φ = 20379340800.

The previous prime is 89968366753. The next prime is 89968366861. The reversal of 89968366800 is 866386998.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 497062710 + ... + 497062890.

Almost surely, 2^89968366800 is an apocalyptic number.

89968366800 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 89968366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183080417520).

89968366800 is an abundant number, since it is smaller than the sum of its proper divisors (276192468240).

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

89968366800 is a wasteful number, since it uses less digits than its factorization.

89968366800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 89968366800 in words is "eighty-nine billion, nine hundred sixty-eight million, three hundred sixty-six thousand, eight hundred".