89168365440 has 1152 divisors, whose sum is σ = 395747352000. Its totient is φ = 18478817280.

The previous prime is 89168365379. The next prime is 89168365453. The reversal of 89168365440 is 4456386198.

89168365440 is a `hidden beast` number, since 8 + 9 + 1 + 68 + 36 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 239057094 + ... + 239057466.

Almost surely, 2^89168365440 is an apocalyptic number.

89168365440 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 89168365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197873676000).

89168365440 is an abundant number, since it is smaller than the sum of its proper divisors (306578986560).

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

89168365440 is a wasteful number, since it uses less digits than its factorization.

89168365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 89168365440 in words is "eighty-nine billion, one hundred sixty-eight million, three hundred sixty-five thousand, four hundred forty".