516505164133200 has 240 divisors, whose sum is σ = 1899948183628800. Its totient is φ = 118623195532800.

The previous prime is 516505164133183. The next prime is 516505164133207. The reversal of 516505164133200 is 2331461505615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516505164133207) 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, 1029464440 + ... + 1029966039.

It is an arithmetic number, because the mean of its divisors is an integer number (7916450765120).

Almost surely, 2^{516505164133200} is an apocalyptic number.

516505164133200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516505164133200 is an abundant number, since it is smaller than the sum of its proper divisors (1383443019495600).

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

516505164133200 is a wasteful number, since it uses less digits than its factorization.

516505164133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059430530 (or 2059430519 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 516505164133200 in words is "five hundred sixteen trillion, five hundred five billion, one hundred sixty-four million, one hundred thirty-three thousand, two hundred".