89079264000 has 360 divisors, whose sum is σ = 331501218048. Its totient is φ = 23753779200.

The previous prime is 89079263963. The next prime is 89079264047. The reversal of 89079264000 is 46297098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2574817 + ... + 2609183.

Almost surely, 2^89079264000 is an apocalyptic number.

89079264000 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 89079264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165750609024).

89079264000 is an abundant number, since it is smaller than the sum of its proper divisors (242421954048).

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

89079264000 is an equidigital number, since it uses as much as digits as its factorization.

89079264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34410 (or 34377 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 89079264000 in words is "eighty-nine billion, seventy-nine million, two hundred sixty-four thousand".