516557168640 has 672 divisors, whose sum is σ = 1869274087200. Its totient is φ = 131790274560.

The previous prime is 516557168639. The next prime is 516557168641. The reversal of 516557168640 is 46861755615.

516557168640 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 571 + 6 + 8 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (516557168639) and next prime (516557168641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516557168641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2255708046 + ... + 2255708274.

Almost surely, 2^516557168640 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 516557168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934637043600).

516557168640 is an abundant number, since it is smaller than the sum of its proper divisors (1352716918560).

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

516557168640 is a wasteful number, since it uses less digits than its factorization.

516557168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 516557168640 in words is "five hundred sixteen billion, five hundred fifty-seven million, one hundred sixty-eight thousand, six hundred forty".