516351036240 has 480 divisors, whose sum is σ = 1931520374784. Its totient is φ = 122758778880.

The previous prime is 516351036221. The next prime is 516351036241. The reversal of 516351036240 is 42630153615.

516351036240 is a `hidden beast` number, since 5 + 1 + 635 + 10 + 3 + 6 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×516351036240² (a number of 24 digits) contains 22 as substring.

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 = 516351036195 and 516351036204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516351036241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177866629 + ... + 177869531.

Almost surely, 2^516351036240 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 516351036240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965760187392).

516351036240 is an abundant number, since it is smaller than the sum of its proper divisors (1415169338544).

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

516351036240 is a wasteful number, since it uses less digits than its factorization.

516351036240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 516351036240 its reverse (42630153615), we get a palindrome (558981189855).

The spelling of 516351036240 in words is "five hundred sixteen billion, three hundred fifty-one million, thirty-six thousand, two hundred forty".