509947038720 has 1408 divisors, whose sum is σ = 2157984737280. Its totient is φ = 111795240960.

The previous prime is 509947038701. The next prime is 509947038721. The reversal of 509947038720 is 27830749905.

509947038720 is a `hidden beast` number, since 5 + 0 + 99 + 470 + 3 + 87 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (509947038721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3128509359 + ... + 3128509521.

Almost surely, 2^509947038720 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 509947038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078992368640).

509947038720 is an abundant number, since it is smaller than the sum of its proper divisors (1648037698560).

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

509947038720 is a wasteful number, since it uses less digits than its factorization.

509947038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 509947038720 in words is "five hundred nine billion, nine hundred forty-seven million, thirty-eight thousand, seven hundred twenty".