89159616000 has 1920 divisors, whose sum is σ = 417712014720. Its totient is φ = 18811699200.

The previous prime is 89159615999. The next prime is 89159616001. The reversal of 89159616000 is 61695198.

It is an interprime number because it is at equal distance from previous prime (89159615999) and next prime (89159616001).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89159616001) 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 191 ways as a sum of consecutive naturals, for example, 6858431994 + ... + 6858432006.

It is an arithmetic number, because the mean of its divisors is an integer number (217558341).

Almost surely, 2^89159616000 is an apocalyptic number.

89159616000 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 89159616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208856007360).

89159616000 is an abundant number, since it is smaller than the sum of its proper divisors (328552398720).

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

89159616000 is an frugal number, since it uses more digits than its factorization.

89159616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 89159616000 in words is "eighty-nine billion, one hundred fifty-nine million, six hundred sixteen thousand".