89385127296 has 256 divisors, whose sum is σ = 258088723200. Its totient is φ = 27316224000.

The previous prime is 89385127291. The next prime is 89385127319. The reversal of 89385127296 is 69272158398.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89385127291) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 39185676 + ... + 39187956.

It is an arithmetic number, because the mean of its divisors is an integer number (1008159075).

Almost surely, 2^89385127296 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 89385127296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129044361600).

89385127296 is an abundant number, since it is smaller than the sum of its proper divisors (168703595904).

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

89385127296 is a wasteful number, since it uses less digits than its factorization.

89385127296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2477 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 60.

The spelling of 89385127296 in words is "eighty-nine billion, three hundred eighty-five million, one hundred twenty-seven thousand, two hundred ninety-six".