5160680501760 has 2880 divisors, whose sum is σ = 23876826285312. Its totient is φ = 1059474898944.

The previous prime is 5160680501749. The next prime is 5160680501843. The reversal of 5160680501760 is 671050860615.

5160680501760 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 6 + 80 + 501 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11918430504 + ... + 11918430936.

Almost surely, 2^{5160680501760} 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 5160680501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11938413142656).

5160680501760 is an abundant number, since it is smaller than the sum of its proper divisors (18716145783552).

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

5160680501760 is a wasteful number, since it uses less digits than its factorization.

5160680501760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 5160680501760 in words is "five trillion, one hundred sixty billion, six hundred eighty million, five hundred one thousand, seven hundred sixty".