516653728800 has 288 divisors, whose sum is σ = 1914357473280. Its totient is φ = 119803622400.

The previous prime is 516653728783. The next prime is 516653728873. The reversal of 516653728800 is 8827356615.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181761 + ... + 1032639.

It is an arithmetic number, because the mean of its divisors is an integer number (6647074560).

Almost surely, 2^516653728800 is an apocalyptic number.

516653728800 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 516653728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957178736640).

516653728800 is an abundant number, since it is smaller than the sum of its proper divisors (1397703744480).

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

516653728800 is a wasteful number, since it uses less digits than its factorization.

516653728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850936 (or 850923 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 516653728800 in words is "five hundred sixteen billion, six hundred fifty-three million, seven hundred twenty-eight thousand, eight hundred".