65589881440968 has 384 divisors, whose sum is σ = 192133942640640. Its totient is φ = 20939562720000.

The previous prime is 65589881440927. The next prime is 65589881440973. The reversal of 65589881440968 is 86904418898556.

65589881440968 is a `hidden beast` number, since 6 + 5 + 5 + 8 + 9 + 8 + 81 + 440 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 2466049846 + ... + 2466076442.

It is an arithmetic number, because the mean of its divisors is an integer number (500348808960).

Almost surely, 2^{65589881440968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65589881440968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96066971320320).

65589881440968 is an abundant number, since it is smaller than the sum of its proper divisors (126544061199672).

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

65589881440968 is a wasteful number, since it uses less digits than its factorization.

65589881440968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27071 (or 27055 counting only the distinct ones).

The product of its (nonzero) digits is 4777574400, while the sum is 81.

The spelling of 65589881440968 in words is "sixty-five trillion, five hundred eighty-nine billion, eight hundred eighty-one million, four hundred forty thousand, nine hundred sixty-eight".