5713819608960 has 1024 divisors, whose sum is σ = 22379341824000. Its totient is φ = 1371313152000.

The previous prime is 5713819608943. The next prime is 5713819608961. The reversal of 5713819608960 is 698069183175.

5713819608960 is a `hidden beast` number, since 5 + 7 + 1 + 3 + 8 + 19 + 608 + 9 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5713819608961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1140252855 + ... + 1140257865.

It is an arithmetic number, because the mean of its divisors is an integer number (21854826000).

Almost surely, 2^{5713819608960} 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 5713819608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11189670912000).

5713819608960 is an abundant number, since it is smaller than the sum of its proper divisors (16665522215040).

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

5713819608960 is a wasteful number, since it uses less digits than its factorization.

5713819608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5232 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 5713819608960 in words is "five trillion, seven hundred thirteen billion, eight hundred nineteen million, six hundred eight thousand, nine hundred sixty".