5096593172160 has 560 divisors, whose sum is σ = 21387795517440. Its totient is φ = 1127355770880.

The previous prime is 5096593172159. The next prime is 5096593172161. The reversal of 5096593172160 is 612713956905.

5096593172160 is a `hidden beast` number, since 50 + 9 + 65 + 9 + 317 + 216 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5096593172159) and next prime (5096593172161).

It is a tau number, because it is divible by the number of its divisors (560).

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 = 5096593172097 and 5096593172106.

It is not an unprimeable number, because it can be changed into a prime (5096593172161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5171581 + ... + 6077699.

Almost surely, 2^{5096593172160} 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 5096593172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10693897758720).

5096593172160 is an abundant number, since it is smaller than the sum of its proper divisors (16291202345280).

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

5096593172160 is a wasteful number, since it uses less digits than its factorization.

5096593172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906186 (or 906167 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 5096593172160 in words is "five trillion, ninety-six billion, five hundred ninety-three million, one hundred seventy-two thousand, one hundred sixty".