89163748800 has 1008 divisors, whose sum is σ = 390230148672. Its totient is φ = 18844876800.

The previous prime is 89163748789. The next prime is 89163748801. The reversal of 89163748800 is 884736198.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89163748801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104529174 + ... + 104530026.

It is an arithmetic number, because the mean of its divisors is an integer number (387133084).

Almost surely, 2^89163748800 is an apocalyptic number.

89163748800 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 89163748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195115074336).

89163748800 is an abundant number, since it is smaller than the sum of its proper divisors (301066399872).

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

89163748800 is a wasteful number, since it uses less digits than its factorization.

89163748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 89163748800 in words is "eighty-nine billion, one hundred sixty-three million, seven hundred forty-eight thousand, eight hundred".