516111106056 has 256 divisors, whose sum is σ = 1675257292800. Its totient is φ = 128672188416.

The previous prime is 516111106031. The next prime is 516111106157. The reversal of 516111106056 is 650601111615.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19365316 + ... + 19391948.

It is an arithmetic number, because the mean of its divisors is an integer number (6543973800).

Almost surely, 2^516111106056 is an apocalyptic number.

516111106056 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 516111106056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837628646400).

516111106056 is an abundant number, since it is smaller than the sum of its proper divisors (1159146186744).

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

516111106056 is a wasteful number, since it uses less digits than its factorization.

516111106056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27148 (or 27144 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 516111106056 in words is "five hundred sixteen billion, one hundred eleven million, one hundred six thousand, fifty-six".