509656412160 has 1248 divisors, whose sum is σ = 2136270464640. Its totient is φ = 109924319232.

The previous prime is 509656412137. The next prime is 509656412227. The reversal of 509656412160 is 61214656905.

509656412160 is a `hidden beast` number, since 5 + 0 + 9 + 6 + 564 + 1 + 21 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1983098752 + ... + 1983099008.

It is an arithmetic number, because the mean of its divisors is an integer number (1711755180).

Almost surely, 2^509656412160 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 509656412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068135232320).

509656412160 is an abundant number, since it is smaller than the sum of its proper divisors (1626614052480).

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

509656412160 is a wasteful number, since it uses less digits than its factorization.

509656412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 509656412160 in words is "five hundred nine billion, six hundred fifty-six million, four hundred twelve thousand, one hundred sixty".