5107710389760 has 840 divisors, whose sum is σ = 20183258735640. Its totient is φ = 1238178078720.

The previous prime is 5107710389653. The next prime is 5107710389777. The reversal of 5107710389760 is 679830177015.

5107710389760 is a `hidden beast` number, since 510 + 7 + 7 + 1 + 0 + 38 + 97 + 6 + 0 = 666.

It is a super-2 number, since 2×5107710389760² (a number of 26 digits) contains 22 as substring.

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 = 5107710389697 and 5107710389706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 225803731 + ... + 225826349.

It is an arithmetic number, because the mean of its divisors is an integer number (24027688971).

Almost surely, 2^{5107710389760} 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 5107710389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10091629367820).

5107710389760 is an abundant number, since it is smaller than the sum of its proper divisors (15075548345880).

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

5107710389760 is an equidigital number, since it uses as much as digits as its factorization.

5107710389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22682 (or 22640 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 5107710389760 in words is "five trillion, one hundred seven billion, seven hundred ten million, three hundred eighty-nine thousand, seven hundred sixty".