516455072896896 has 512 divisors, whose sum is σ = 1759717225728000. Its totient is φ = 146066122506240.

The previous prime is 516455072896877. The next prime is 516455072896943. The reversal of 516455072896896 is 698698270554615.

516455072896896 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 5 + 507 + 28 + 9 + 6 + 89 + 6 = 666.

It is a super-2 number, since 2×516455072896896² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 973390210 + ... + 973920638.

It is an arithmetic number, because the mean of its divisors is an integer number (3436947706500).

Almost surely, 2^{516455072896896} is an apocalyptic number.

516455072896896 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 516455072896896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879858612864000).

516455072896896 is an abundant number, since it is smaller than the sum of its proper divisors (1243262152831104).

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

516455072896896 is a wasteful number, since it uses less digits than its factorization.

516455072896896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530867 (or 530849 counting only the distinct ones).

The product of its (nonzero) digits is 7838208000, while the sum is 81.

The spelling of 516455072896896 in words is "five hundred sixteen trillion, four hundred fifty-five billion, seventy-two million, eight hundred ninety-six thousand, eight hundred ninety-six".