511986849696 has 144 divisors (see below), whose sum is σ = 1665565574400. Its totient is φ = 146140568064.

The previous prime is 511986849683. The next prime is 511986849727. The reversal of 511986849696 is 696948689115.

511986849696 is a `hidden beast` number, since 51 + 1 + 9 + 86 + 8 + 496 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1972410 + ... + 2216838.

It is an arithmetic number, because the mean of its divisors is an integer number (11566427600).

Almost surely, 2^511986849696 is an apocalyptic number.

511986849696 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 511986849696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832782787200).

511986849696 is an abundant number, since it is smaller than the sum of its proper divisors (1153578724704).

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

511986849696 is a wasteful number, since it uses less digits than its factorization.

511986849696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245491 (or 245480 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 72.

The spelling of 511986849696 in words is "five hundred eleven billion, nine hundred eighty-six million, eight hundred forty-nine thousand, six hundred ninety-six".