65599801344 has 1152 divisors, whose sum is σ = 258138316800. Its totient is φ = 16257024000.

The previous prime is 65599801339. The next prime is 65599801361. The reversal of 65599801344 is 44310899556.

65599801344 is a `hidden beast` number, since 6 + 5 + 599 + 8 + 0 + 1 + 3 + 44 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 923940829 + ... + 923940899.

It is an arithmetic number, because the mean of its divisors is an integer number (224078400).

Almost surely, 2^65599801344 is an apocalyptic number.

65599801344 is a gapful number since it is divisible by the number (64) 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 65599801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129069158400).

65599801344 is an abundant number, since it is smaller than the sum of its proper divisors (192538515456).

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

65599801344 is a wasteful number, since it uses less digits than its factorization.

65599801344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 65599801344 in words is "sixty-five billion, five hundred ninety-nine million, eight hundred one thousand, three hundred forty-four".