516560010026456 has 128 divisors (see below), whose sum is σ = 1072487304000000. Its totient is φ = 231286952386560.

The previous prime is 516560010026413. The next prime is 516560010026483. The reversal of 516560010026456 is 654620010065615.

It is a self number, because there is not a number n which added to its sum of digits gives 516560010026456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4587958610 + ... + 4588071198.

It is an arithmetic number, because the mean of its divisors is an integer number (8378807062500).

Almost surely, 2^{516560010026456} 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 516560010026456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536243652000000).

516560010026456 is an abundant number, since it is smaller than the sum of its proper divisors (555927293973544).

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

516560010026456 is a wasteful number, since it uses less digits than its factorization.

516560010026456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114537 (or 114533 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 47.

The spelling of 516560010026456 in words is "five hundred sixteen trillion, five hundred sixty billion, ten million, twenty-six thousand, four hundred fifty-six".