509855613696 has 1152 divisors, whose sum is σ = 1975465497600. Its totient is φ = 127083479040.

The previous prime is 509855613691. The next prime is 509855613697. The reversal of 509855613696 is 696316558905.

509855613696 is a `hidden beast` number, since 5 + 0 + 9 + 8 + 5 + 5 + 613 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (509855613691) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 319257570 + ... + 319259166.

It is an arithmetic number, because the mean of its divisors is an integer number (1714813800).

Almost surely, 2^509855613696 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 509855613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987732748800).

509855613696 is an abundant number, since it is smaller than the sum of its proper divisors (1465609883904).

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

509855613696 is a wasteful number, since it uses less digits than its factorization.

509855613696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 509855613696 in words is "five hundred nine billion, eight hundred fifty-five million, six hundred thirteen thousand, six hundred ninety-six".