5056117720704 has 384 divisors, whose sum is σ = 15377079294720. Its totient is φ = 1591505879040.

The previous prime is 5056117720669. The next prime is 5056117720711. The reversal of 5056117720704 is 4070277116505.

5056117720704 is a `hidden beast` number, since 5 + 0 + 5 + 611 + 7 + 7 + 20 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 5056117720704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787431414 + ... + 787437834.

It is an arithmetic number, because the mean of its divisors is an integer number (40044477330).

Almost surely, 2^{5056117720704} 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 5056117720704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688539647360).

5056117720704 is an abundant number, since it is smaller than the sum of its proper divisors (10320961574016).

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

5056117720704 is a wasteful number, since it uses less digits than its factorization.

5056117720704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6840 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 5056117720704 in words is "five trillion, fifty-six billion, one hundred seventeen million, seven hundred twenty thousand, seven hundred four".