5799944654640 has 240 divisors, whose sum is σ = 19574145975072. Its totient is φ = 1539044499456.

The previous prime is 5799944654633. The next prime is 5799944654641. The reversal of 5799944654640 is 464564499975.

It is a happy number.

5799944654640 is a `hidden beast` number, since 5 + 7 + 9 + 99 + 446 + 54 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5799944654641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149336664 + ... + 149375496.

Almost surely, 2^{5799944654640} 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 5799944654640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9787072987536).

5799944654640 is an abundant number, since it is smaller than the sum of its proper divisors (13774201320432).

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

5799944654640 is a wasteful number, since it uses less digits than its factorization.

5799944654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39868 (or 39859 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 5799944654640 in words is "five trillion, seven hundred ninety-nine billion, nine hundred forty-four million, six hundred fifty-four thousand, six hundred forty".