516663048000 has 1792 divisors, whose sum is σ = 2128056053760. Its totient is φ = 108822528000.

The previous prime is 516663047993. The next prime is 516663048001. The reversal of 516663048000 is 840366615.

It is a self number, because there is not a number n which added to its sum of digits gives 516663048000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516663048001) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 6224855959 + ... + 6224856041.

It is an arithmetic number, because the mean of its divisors is an integer number (1187531280).

Almost surely, 2^516663048000 is an apocalyptic number.

516663048000 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 516663048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064028026880).

516663048000 is an abundant number, since it is smaller than the sum of its proper divisors (1611393005760).

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

516663048000 is a wasteful number, since it uses less digits than its factorization.

516663048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 516663048000 in words is "five hundred sixteen billion, six hundred sixty-three million, forty-eight thousand".