89073200160 has 288 divisors, whose sum is σ = 347702689152. Its totient is φ = 20341002240.

The previous prime is 89073200149. The next prime is 89073200171. The reversal of 89073200160 is 6100237098.

It is an interprime number because it is at equal distance from previous prime (89073200149) and next prime (89073200171).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13171180 + ... + 13177940.

It is an arithmetic number, because the mean of its divisors is an integer number (1207301004).

Almost surely, 2^89073200160 is an apocalyptic number.

89073200160 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 89073200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173851344576).

89073200160 is an abundant number, since it is smaller than the sum of its proper divisors (258629488992).

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

89073200160 is a wasteful number, since it uses less digits than its factorization.

89073200160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8096 (or 8085 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 89073200160 in words is "eighty-nine billion, seventy-three million, two hundred thousand, one hundred sixty".