89256318432960 has 448 divisors, whose sum is σ = 330781932288000. Its totient is φ = 20382964568064.

The previous prime is 89256318432923. The next prime is 89256318432961. The reversal of 89256318432960 is 6923481365298.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 89256318432891 and 89256318432900.

It is not an unprimeable number, because it can be changed into a prime (89256318432961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365049309 + ... + 365293731.

Almost surely, 2^{89256318432960} is an apocalyptic number.

89256318432960 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 89256318432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165390966144000).

89256318432960 is an abundant number, since it is smaller than the sum of its proper divisors (241525613855040).

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

89256318432960 is a wasteful number, since it uses less digits than its factorization.

89256318432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245573 (or 245549 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 66.

The spelling of 89256318432960 in words is "eighty-nine trillion, two hundred fifty-six billion, three hundred eighteen million, four hundred thirty-two thousand, nine hundred sixty".