509976909066240 has 4368 divisors, whose sum is σ = 2351496918528000. Its totient is φ = 104924133457920.

The previous prime is 509976909066193. The next prime is 509976909066329. The reversal of 509976909066240 is 42660909679905.

509976909066240 is a `hidden beast` number, since 5 + 0 + 99 + 76 + 90 + 90 + 66 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1021997813511 + ... + 1021997814009.

Almost surely, 2^{509976909066240} 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 509976909066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175748459264000).

509976909066240 is an abundant number, since it is smaller than the sum of its proper divisors (1841520009461760).

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

509976909066240 is a wasteful number, since it uses less digits than its factorization.

509976909066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 509976909066240 in words is "five hundred nine trillion, nine hundred seventy-six billion, nine hundred nine million, sixty-six thousand, two hundred forty".