5160131063640 has 512 divisors, whose sum is σ = 20374269696000. Its totient is φ = 1137046284288.

The previous prime is 5160131063621. The next prime is 5160131063687. The reversal of 5160131063640 is 463601310615.

5160131063640 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 1 + 3 + 1 + 0 + 6 + 3 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5160131063595 and 5160131063604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30404859 + ... + 30574101.

It is an arithmetic number, because the mean of its divisors is an integer number (39793495500).

Almost surely, 2^{5160131063640} 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 5160131063640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10187134848000).

5160131063640 is an abundant number, since it is smaller than the sum of its proper divisors (15214138632360).

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

5160131063640 is a wasteful number, since it uses less digits than its factorization.

5160131063640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169416 (or 169406 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 5160131063640 in words is "five trillion, one hundred sixty billion, one hundred thirty-one million, sixty-three thousand, six hundred forty".