516741008800 has 288 divisors, whose sum is σ = 1383436454400. Its totient is φ = 187743744000.

The previous prime is 516741008761. The next prime is 516741008801. The reversal of 516741008800 is 8800147615.

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 (516741008801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51355770 + ... + 51365830.

It is an arithmetic number, because the mean of its divisors is an integer number (4803598800).

Almost surely, 2^516741008800 is an apocalyptic number.

516741008800 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 516741008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691718227200).

516741008800 is an abundant number, since it is smaller than the sum of its proper divisors (866695445600).

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

516741008800 is a wasteful number, since it uses less digits than its factorization.

516741008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240 (or 10227 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 516741008800 in words is "five hundred sixteen billion, seven hundred forty-one million, eight thousand, eight hundred".