516220203120 has 160 divisors (see below), whose sum is σ = 1617179351040. Its totient is φ = 136207027200.

The previous prime is 516220203091. The next prime is 516220203139. The reversal of 516220203120 is 21302022615.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42632107 + ... + 42644213.

It is an arithmetic number, because the mean of its divisors is an integer number (10107370944).

Almost surely, 2^516220203120 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 516220203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808589675520).

516220203120 is an abundant number, since it is smaller than the sum of its proper divisors (1100959147920).

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

516220203120 is a wasteful number, since it uses less digits than its factorization.

516220203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13983 (or 13977 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 516220203120 its reverse (21302022615), we get a palindrome (537522225735).

The spelling of 516220203120 in words is "five hundred sixteen billion, two hundred twenty million, two hundred three thousand, one hundred twenty".