509487765696 has 1568 divisors, whose sum is σ = 1989994496000. Its totient is φ = 128389847040.

The previous prime is 509487765637. The next prime is 509487765733. The reversal of 509487765696 is 696567784905.

509487765696 is a `hidden beast` number, since 5 + 0 + 9 + 487 + 7 + 6 + 56 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6449212185 + ... + 6449212263.

Almost surely, 2^509487765696 is an apocalyptic number.

509487765696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509487765696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994997248000).

509487765696 is an abundant number, since it is smaller than the sum of its proper divisors (1480506730304).

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

509487765696 is an equidigital number, since it uses as much as digits as its factorization.

509487765696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 509487765696 in words is "five hundred nine billion, four hundred eighty-seven million, seven hundred sixty-five thousand, six hundred ninety-six".