89504113440 has 288 divisors, whose sum is σ = 328567881600. Its totient is φ = 20420714496.

The previous prime is 89504113403. The next prime is 89504113451. The reversal of 89504113440 is 4431140598.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14085304 + ... + 14091656.

It is an arithmetic number, because the mean of its divisors is an integer number (1140860700).

Almost surely, 2^89504113440 is an apocalyptic number.

89504113440 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 89504113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164283940800).

89504113440 is an abundant number, since it is smaller than the sum of its proper divisors (239063768160).

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

89504113440 is a wasteful number, since it uses less digits than its factorization.

89504113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6984 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 89504113440 in words is "eighty-nine billion, five hundred four million, one hundred thirteen thousand, four hundred forty".