509023278969040 has 160 divisors (see below), whose sum is σ = 1293722096486400. Its totient is φ = 184718927823360.

The previous prime is 509023278969011. The next prime is 509023278969083. The reversal of 509023278969040 is 40969872320905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8843475781 + ... + 8843533339.

It is an arithmetic number, because the mean of its divisors is an integer number (8085763103040).

Almost surely, 2^{509023278969040} 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 509023278969040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646861048243200).

509023278969040 is an abundant number, since it is smaller than the sum of its proper divisors (784698817517360).

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

509023278969040 is a wasteful number, since it uses less digits than its factorization.

509023278969040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78065 (or 78059 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 509023278969040 in words is "five hundred nine trillion, twenty-three billion, two hundred seventy-eight million, nine hundred sixty-nine thousand, forty".