509696721072 has 1600 divisors, whose sum is σ = 2008978464768. Its totient is φ = 120932352000.

The previous prime is 509696721067. The next prime is 509696721101. The reversal of 509696721072 is 270127696905.

509696721072 is a `hidden beast` number, since 509 + 6 + 9 + 67 + 2 + 1 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between odd and even.

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 319 ways as a sum of consecutive naturals, for example, 6982146828 + ... + 6982146900.

Almost surely, 2^509696721072 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 509696721072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004489232384).

509696721072 is an abundant number, since it is smaller than the sum of its proper divisors (1499281743696).

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

509696721072 is a wasteful number, since it uses less digits than its factorization.

509696721072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 509696721072 in words is "five hundred nine billion, six hundred ninety-six million, seven hundred twenty-one thousand, seventy-two".