516957358464 has 128 divisors (see below), whose sum is σ = 1526023999200. Its totient is φ = 172287295488.

The previous prime is 516957358459. The next prime is 516957358469. The reversal of 516957358464 is 464853759615.

It is a happy number.

516957358464 is a `hidden beast` number, since 5 + 1 + 6 + 9 + 573 + 58 + 4 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (516957358459) and next prime (516957358469).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516957358469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25540092 + ... + 25560324.

Almost surely, 2^516957358464 is an apocalyptic number.

516957358464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516957358464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763011999600).

516957358464 is an abundant number, since it is smaller than the sum of its proper divisors (1009066640736).

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

516957358464 is a wasteful number, since it uses less digits than its factorization.

516957358464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27649 (or 27631 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 516957358464 in words is "five hundred sixteen billion, nine hundred fifty-seven million, three hundred fifty-eight thousand, four hundred sixty-four".