516084387840 has 624 divisors, whose sum is σ = 2083277708928. Its totient is φ = 115721109504.

The previous prime is 516084387829. The next prime is 516084387869. The reversal of 516084387840 is 48783480615.

516084387840 is a `hidden beast` number, since 5 + 160 + 8 + 438 + 7 + 8 + 40 = 666.

It is a congruent number.

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, 68378947 + ... + 68386493.

It is an arithmetic number, because the mean of its divisors is an integer number (3338586072).

Almost surely, 2^516084387840 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 516084387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041638854464).

516084387840 is an abundant number, since it is smaller than the sum of its proper divisors (1567193321088).

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

516084387840 is a wasteful number, since it uses less digits than its factorization.

516084387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7642 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 516084387840 in words is "five hundred sixteen billion, eighty-four million, three hundred eighty-seven thousand, eight hundred forty".