89353230935040 has 1408 divisors, whose sum is σ = 341152378060800. Its totient is φ = 22388931919872.

The previous prime is 89353230935029. The next prime is 89353230935041. The reversal of 89353230935040 is 4053903235398.

89353230935040 is a `hidden beast` number, since 8 + 9 + 3 + 53 + 230 + 9 + 350 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (89353230935041) 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 127 ways as a sum of consecutive naturals, for example, 27019421067 + ... + 27019424373.

Almost surely, 2^{89353230935040} is an apocalyptic number.

89353230935040 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 89353230935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170576189030400).

89353230935040 is an abundant number, since it is smaller than the sum of its proper divisors (251799147125760).

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

89353230935040 is a wasteful number, since it uses less digits than its factorization.

89353230935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 89353230935040 in words is "eighty-nine trillion, three hundred fifty-three billion, two hundred thirty million, nine hundred thirty-five thousand, forty".