516854949408 has 288 divisors, whose sum is σ = 1757860574400. Its totient is φ = 147315345408.

The previous prime is 516854949343. The next prime is 516854949421. The reversal of 516854949408 is 804949458615.

516854949408 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 549 + 49 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17724216 + ... + 17753352.

It is an arithmetic number, because the mean of its divisors is an integer number (6103682550).

Almost surely, 2^516854949408 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 516854949408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878930287200).

516854949408 is an abundant number, since it is smaller than the sum of its proper divisors (1241005624992).

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

516854949408 is a wasteful number, since it uses less digits than its factorization.

516854949408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29589 (or 29568 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 516854949408 in words is "five hundred sixteen billion, eight hundred fifty-four million, nine hundred forty-nine thousand, four hundred eight".