89313168672 has 1296 divisors, whose sum is σ = 354021464160. Its totient is φ = 22009688064.

The previous prime is 89313168641. The next prime is 89313168713. The reversal of 89313168672 is 27686131398.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1223468028 + ... + 1223468100.

It is an arithmetic number, because the mean of its divisors is an integer number (273164710).

Almost surely, 2^89313168672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89313168672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177010732080).

89313168672 is an abundant number, since it is smaller than the sum of its proper divisors (264708295488).

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

89313168672 is a wasteful number, since it uses less digits than its factorization.

89313168672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 117 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 89313168672 in words is "eighty-nine billion, three hundred thirteen million, one hundred sixty-eight thousand, six hundred seventy-two".