5799461310720 has 3456 divisors, whose sum is σ = 27509160591360. Its totient is φ = 1152158515200.

The previous prime is 5799461310683. The next prime is 5799461310737. The reversal of 5799461310720 is 270131649975.

5799461310720 is a `hidden beast` number, since 5 + 7 + 9 + 9 + 4 + 613 + 10 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 69873027799 + ... + 69873027881.

It is an arithmetic number, because the mean of its divisors is an integer number (7959826560).

Almost surely, 2^{5799461310720} 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 5799461310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13754580295680).

5799461310720 is an abundant number, since it is smaller than the sum of its proper divisors (21709699280640).

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

5799461310720 is a wasteful number, since it uses less digits than its factorization.

5799461310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 5799461310720 in words is "five trillion, seven hundred ninety-nine billion, four hundred sixty-one million, three hundred ten thousand, seven hundred twenty".