516655949472 has 480 divisors, whose sum is σ = 1686542280192. Its totient is φ = 154158391296.

The previous prime is 516655949423. The next prime is 516655949521. The reversal of 516655949472 is 274949556615.

516655949472 is a `hidden beast` number, since 5 + 1 + 6 + 6 + 559 + 4 + 9 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (516655949423) and next prime (516655949521).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178958013 + ... + 178960899.

Almost surely, 2^516655949472 is an apocalyptic number.

516655949472 is a gapful number since it is divisible by the number (52) 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 516655949472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843271140096).

516655949472 is an abundant number, since it is smaller than the sum of its proper divisors (1169886330720).

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

516655949472 is a wasteful number, since it uses less digits than its factorization.

516655949472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3065 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 516655949472 in words is "five hundred sixteen billion, six hundred fifty-five million, nine hundred forty-nine thousand, four hundred seventy-two".