89166646800 has 1200 divisors, whose sum is σ = 404010427392. Its totient is φ = 18295372800.

The previous prime is 89166646769. The next prime is 89166646819. The reversal of 89166646800 is 864666198.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 256964227 + ... + 256964573.

Almost surely, 2^89166646800 is an apocalyptic number.

89166646800 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 89166646800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202005213696).

89166646800 is an abundant number, since it is smaller than the sum of its proper divisors (314843780592).

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

89166646800 is a wasteful number, since it uses less digits than its factorization.

89166646800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 89166646800 in words is "eighty-nine billion, one hundred sixty-six million, six hundred forty-six thousand, eight hundred".