516173159040 has 1024 divisors, whose sum is σ = 2121840230400. Its totient is φ = 103611432960.

The previous prime is 516173159039. The next prime is 516173159057. The reversal of 516173159040 is 40951371615.

It is a super-2 number, since 2×516173159040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 516173158983 and 516173159001.

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, 1077605521 + ... + 1077605999.

It is an arithmetic number, because the mean of its divisors is an integer number (2072109600).

Almost surely, 2^516173159040 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 516173159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060920115200).

516173159040 is an abundant number, since it is smaller than the sum of its proper divisors (1605667071360).

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

516173159040 is a wasteful number, since it uses less digits than its factorization.

516173159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 516173159040 in words is "five hundred sixteen billion, one hundred seventy-three million, one hundred fifty-nine thousand, forty".