516531847104 has 1120 divisors, whose sum is σ = 1961273736576. Its totient is φ = 130786099200.

The previous prime is 516531847103. The next prime is 516531847121. The reversal of 516531847104 is 401748135615.

516531847104 is a `hidden beast` number, since 5 + 1 + 6 + 531 + 8 + 4 + 7 + 104 = 666.

516531847104 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 516531847104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516531847103) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1762907182 + ... + 1762907474.

Almost surely, 2^516531847104 is an apocalyptic number.

516531847104 is a gapful number since it is divisible by the number (54) 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 516531847104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980636868288).

516531847104 is an abundant number, since it is smaller than the sum of its proper divisors (1444741889472).

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

516531847104 is a wasteful number, since it uses less digits than its factorization.

516531847104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 516531847104 in words is "five hundred sixteen billion, five hundred thirty-one million, eight hundred forty-seven thousand, one hundred four".