516284264200 has 96 divisors (see below), whose sum is σ = 1271416124160. Its totient is φ = 194297676800.

The previous prime is 516284264189. The next prime is 516284264201. The reversal of 516284264200 is 2462482615.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (516284264201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10253085 + ... + 10303315.

It is an arithmetic number, because the mean of its divisors is an integer number (13243917960).

Almost surely, 2^516284264200 is an apocalyptic number.

516284264200 is a gapful number since it is divisible by the number (50) 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 516284264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635708062080).

516284264200 is an abundant number, since it is smaller than the sum of its proper divisors (755131859960).

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

516284264200 is a wasteful number, since it uses less digits than its factorization.

516284264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53287 (or 53278 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 516284264200 in words is "five hundred sixteen billion, two hundred eighty-four million, two hundred sixty-four thousand, two hundred".