508065909120 has 768 divisors, whose sum is σ = 2233953146880. Its totient is φ = 103321681920.

The previous prime is 508065909107. The next prime is 508065909149. The reversal of 508065909120 is 21909560805.

508065909120 is a `hidden beast` number, since 50 + 8 + 0 + 6 + 590 + 9 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20833254 + ... + 20857626.

It is an arithmetic number, because the mean of its divisors is an integer number (2908793160).

Almost surely, 2^508065909120 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 508065909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116976573440).

508065909120 is an abundant number, since it is smaller than the sum of its proper divisors (1725887237760).

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

508065909120 is a wasteful number, since it uses less digits than its factorization.

508065909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24463 (or 24448 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 508065909120 in words is "five hundred eight billion, sixty-five million, nine hundred nine thousand, one hundred twenty".