516193026048 has 720 divisors, whose sum is σ = 1806448747935. Its totient is φ = 147483721728.

The previous prime is 516193026043. The next prime is 516193026113. The reversal of 516193026048 is 840620391615.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

516193026048 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 9 + 30 + 2 + 604 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 258096513024 + 258096513024 = 508032^2 + 508032^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=508032.

It is a junction number, because it is equal to n+sod(n) for n = 516193025994 and 516193026012.

It is not an unprimeable number, because it can be changed into a prime (516193026043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 73741860861 + ... + 73741860867.

Almost surely, 2^516193026048 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 516193026048

516193026048 is an abundant number, since it is smaller than the sum of its proper divisors (1290255721887).

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

516193026048 is an frugal number, since it uses more digits than its factorization.

516193026048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 516193026048 in words is "five hundred sixteen billion, one hundred ninety-three million, twenty-six thousand, forty-eight".