516166505514 has 96 divisors (see below), whose sum is σ = 1272980427264. Its totient is φ = 155454234480.

The previous prime is 516166505513. The next prime is 516166505527. The reversal of 516166505514 is 415505661615.

516166505514 is a `hidden beast` number, since 516 + 16 + 65 + 0 + 55 + 14 = 666.

It is a super-2 number, since 2×516166505514² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 516166505514.

It is not an unprimeable number, because it can be changed into a prime (516166505513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575227 + ... + 1167569.

It is an arithmetic number, because the mean of its divisors is an integer number (13260212784).

Almost surely, 2^516166505514 is an apocalyptic number.

516166505514 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 516166505514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636490213632).

516166505514 is an abundant number, since it is smaller than the sum of its proper divisors (756813921750).

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

516166505514 is a wasteful number, since it uses less digits than its factorization.

516166505514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592534 (or 592522 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 516166505514 in words is "five hundred sixteen billion, one hundred sixty-six million, five hundred five thousand, five hundred fourteen".