516251412096 has 768 divisors, whose sum is σ = 1691343763200. Its totient is φ = 138974330880.

The previous prime is 516251412037. The next prime is 516251412097. The reversal of 516251412096 is 690214152615.

It is a happy number.

It is a super-2 number, since 2×516251412096² (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 not an unprimeable number, because it can be changed into a prime (516251412097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5012149581 + ... + 5012149683.

It is an arithmetic number, because the mean of its divisors is an integer number (2202270525).

Almost surely, 2^516251412096 is an apocalyptic number.

516251412096 is a gapful number since it is divisible by the number (56) 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 516251412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845671881600).

516251412096 is an abundant number, since it is smaller than the sum of its proper divisors (1175092351104).

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

516251412096 is a wasteful number, since it uses less digits than its factorization.

516251412096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 516251412096 in words is "five hundred sixteen billion, two hundred fifty-one million, four hundred twelve thousand, ninety-six".