509078999520 has 480 divisors, whose sum is σ = 2211235443648. Its totient is φ = 107409825792.

The previous prime is 509078999519. The next prime is 509078999557. The reversal of 509078999520 is 25999870905.

509078999520 is a `hidden beast` number, since 509 + 0 + 78 + 9 + 9 + 9 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×509078999520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 963532 + ... + 1395188.

Almost surely, 2^509078999520 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 509078999520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105617721824).

509078999520 is an abundant number, since it is smaller than the sum of its proper divisors (1702156444128).

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

509078999520 is a wasteful number, since it uses less digits than its factorization.

509078999520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431704 (or 431687 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 63.

The spelling of 509078999520 in words is "five hundred nine billion, seventy-eight million, nine hundred ninety-nine thousand, five hundred twenty".