89325949440 has 1440 divisors, whose sum is σ = 389106970560. Its totient is φ = 17278894080.

The previous prime is 89325949393. The next prime is 89325949451. The reversal of 89325949440 is 4494952398.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2881482225 + ... + 2881482255.

It is an arithmetic number, because the mean of its divisors is an integer number (270213174).

Almost surely, 2^89325949440 is an apocalyptic number.

89325949440 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 89325949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194553485280).

89325949440 is an abundant number, since it is smaller than the sum of its proper divisors (299781021120).

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

89325949440 is a wasteful number, since it uses less digits than its factorization.

89325949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 89325949440 in words is "eighty-nine billion, three hundred twenty-five million, nine hundred forty-nine thousand, four hundred forty".