509840152680 has 512 divisors, whose sum is σ = 1696412160000. Its totient is φ = 122158891008.

The previous prime is 509840152669. The next prime is 509840152687. The reversal of 509840152680 is 86251048905.

It is a super-2 number, since 2×509840152680² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (509840152687) 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, 505292016 + ... + 505293024.

It is an arithmetic number, because the mean of its divisors is an integer number (3313305000).

Almost surely, 2^509840152680 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 509840152680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848206080000).

509840152680 is an abundant number, since it is smaller than the sum of its proper divisors (1186572007320).

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

509840152680 is a wasteful number, since it uses less digits than its factorization.

509840152680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 509840152680 in words is "five hundred nine billion, eight hundred forty million, one hundred fifty-two thousand, six hundred eighty".