516105354240 has 880 divisors, whose sum is σ = 2130504499200. Its totient is φ = 117026684928.

The previous prime is 516105354223. The next prime is 516105354277. The reversal of 516105354240 is 42453501615.

516105354240 is a `hidden beast` number, since 5 + 1 + 6 + 105 + 3 + 542 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 516105354195 and 516105354204.

It is a congruent number.

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, 403521921 + ... + 403523199.

It is an arithmetic number, because the mean of its divisors is an integer number (2421027840).

Almost surely, 2^516105354240 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 516105354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065252249600).

516105354240 is an abundant number, since it is smaller than the sum of its proper divisors (1614399144960).

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

516105354240 is a wasteful number, since it uses less digits than its factorization.

516105354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 516105354240 its reverse (42453501615), we get a palindrome (558558855855).

The spelling of 516105354240 in words is "five hundred sixteen billion, one hundred five million, three hundred fifty-four thousand, two hundred forty".