510725486880 has 432 divisors, whose sum is σ = 2030419198080. Its totient is φ = 116563313664.

The previous prime is 510725486851. The next prime is 510725486891. The reversal of 510725486880 is 88684527015.

510725486880 is a `hidden beast` number, since 5 + 10 + 7 + 2 + 548 + 6 + 8 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50727607 + ... + 50737673.

It is an arithmetic number, because the mean of its divisors is an integer number (4700044440).

Almost surely, 2^510725486880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510725486880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015209599040).

510725486880 is an abundant number, since it is smaller than the sum of its proper divisors (1519693711200).

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

510725486880 is a wasteful number, since it uses less digits than its factorization.

510725486880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10821 (or 10803 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 510725486880 in words is "five hundred ten billion, seven hundred twenty-five million, four hundred eighty-six thousand, eight hundred eighty".