516197424120 has 512 divisors, whose sum is σ = 2009828505600. Its totient is φ = 103215071232.

The previous prime is 516197424107. The next prime is 516197424161. The reversal of 516197424120 is 21424791615.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14362012 + ... + 14397908.

It is an arithmetic number, because the mean of its divisors is an integer number (3925446300).

Almost surely, 2^516197424120 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 516197424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004914252800).

516197424120 is an abundant number, since it is smaller than the sum of its proper divisors (1493631081480).

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

516197424120 is a wasteful number, since it uses less digits than its factorization.

516197424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36007 (or 36003 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 516197424120 in words is "five hundred sixteen billion, one hundred ninety-seven million, four hundred twenty-four thousand, one hundred twenty".