89319306240 has 264 divisors, whose sum is σ = 310888861920. Its totient is φ = 23710777344.

The previous prime is 89319306227. The next prime is 89319306253. The reversal of 89319306240 is 4260391398.

It is a happy number.

89319306240 is a `hidden beast` number, since 8 + 9 + 3 + 19 + 3 + 0 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (89319306227) and next prime (89319306253).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10455891 + ... + 10464429.

Almost surely, 2^89319306240 is an apocalyptic number.

89319306240 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 89319306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155444430960).

89319306240 is an abundant number, since it is smaller than the sum of its proper divisors (221569555680).

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

89319306240 is a wasteful number, since it uses less digits than its factorization.

89319306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8797 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 89319306240 in words is "eighty-nine billion, three hundred nineteen million, three hundred six thousand, two hundred forty".