5718048240960 has 1344 divisors, whose sum is σ = 23637957767424. Its totient is φ = 1300296499200.

The previous prime is 5718048240901. The next prime is 5718048240973. The reversal of 5718048240960 is 690428408175.

It is a happy number.

5718048240960 is a `hidden beast` number, since 5 + 71 + 8 + 0 + 482 + 4 + 0 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5718048240897 and 5718048240906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6703455894 + ... + 6703456746.

It is an arithmetic number, because the mean of its divisors is an integer number (17587766196).

Almost surely, 2^{5718048240960} 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 5718048240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11818978883712).

5718048240960 is an abundant number, since it is smaller than the sum of its proper divisors (17919909526464).

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

5718048240960 is a wasteful number, since it uses less digits than its factorization.

5718048240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 5718048240960 in words is "five trillion, seven hundred eighteen billion, forty-eight million, two hundred forty thousand, nine hundred sixty".