89595649440 has 576 divisors, whose sum is σ = 364586406912. Its totient is φ = 19781222400.

The previous prime is 89595649439. The next prime is 89595649477. The reversal of 89595649440 is 4494659598.

89595649440 is a `hidden beast` number, since 8 + 9 + 59 + 56 + 494 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8342314 + ... + 8353046.

It is an arithmetic number, because the mean of its divisors is an integer number (632962512).

Almost surely, 2^89595649440 is an apocalyptic number.

89595649440 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 89595649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182293203456).

89595649440 is an abundant number, since it is smaller than the sum of its proper divisors (274990757472).

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

89595649440 is a wasteful number, since it uses less digits than its factorization.

89595649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10813 (or 10802 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 89595649440 in words is "eighty-nine billion, five hundred ninety-five million, six hundred forty-nine thousand, four hundred forty".