516993472800 has 1152 divisors, whose sum is σ = 2251855872000. Its totient is φ = 114307200000.

The previous prime is 516993472739. The next prime is 516993472847. The reversal of 516993472800 is 8274399615.

516993472800 is a `hidden beast` number, since 5 + 1 + 6 + 9 + 93 + 472 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 229671675 + ... + 229673925.

It is an arithmetic number, because the mean of its divisors is an integer number (1954736000).

It is a 1-persistent number, because it is pandigital, but 2⋅516993472800 = 1033986945600 is not.

Almost surely, 2^516993472800 is an apocalyptic number.

516993472800 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 516993472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125927936000).

516993472800 is an abundant number, since it is smaller than the sum of its proper divisors (1734862399200).

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

516993472800 is a wasteful number, since it uses less digits than its factorization.

516993472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 516993472800 in words is "five hundred sixteen billion, nine hundred ninety-three million, four hundred seventy-two thousand, eight hundred".