516110551056 has 240 divisors, whose sum is σ = 1477678488000. Its totient is φ = 168129561600.

The previous prime is 516110551049. The next prime is 516110551057. The reversal of 516110551056 is 650155011615.

It is a happy number.

516110551056 is a `hidden beast` number, since 51 + 6 + 1 + 1 + 0 + 551 + 0 + 56 = 666.

It is a super-2 number, since 2×516110551056² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 516110551056.

It is not an unprimeable number, because it can be changed into a prime (516110551057) 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, 600826755 + ... + 600827613.

It is an arithmetic number, because the mean of its divisors is an integer number (6156993700).

Almost surely, 2^516110551056 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 516110551056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738839244000).

516110551056 is an abundant number, since it is smaller than the sum of its proper divisors (961567936944).

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

516110551056 is a wasteful number, since it uses less digits than its factorization.

516110551056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 516110551056 in words is "five hundred sixteen billion, one hundred ten million, five hundred fifty-one thousand, fifty-six".