89081670148800 has 1344 divisors, whose sum is σ = 357470508994560. Its totient is φ = 18968463360000.

The previous prime is 89081670148787. The next prime is 89081670148817. The reversal of 89081670148800 is 884107618098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29983731315 + ... + 29983734285.

Almost surely, 2^{89081670148800} is an apocalyptic number.

89081670148800 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 89081670148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178735254497280).

89081670148800 is an abundant number, since it is smaller than the sum of its proper divisors (268388838845760).

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

89081670148800 is a wasteful number, since it uses less digits than its factorization.

89081670148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 60.

The spelling of 89081670148800 in words is "eighty-nine trillion, eighty-one billion, six hundred seventy million, one hundred forty-eight thousand, eight hundred".