516432100504320 has 1728 divisors, whose sum is σ = 2417958956335104. Its totient is φ = 98275660922880.

The previous prime is 516432100504279. The next prime is 516432100504357. The reversal of 516432100504320 is 23405001234615.

516432100504320 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 3 + 210 + 0 + 5 + 0 + 432 + 0 = 666.

It is a super-2 number, since 2×516432100504320² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1464326724 + ... + 1464679356.

Almost surely, 2^{516432100504320} 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 516432100504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208979478167552).

516432100504320 is an abundant number, since it is smaller than the sum of its proper divisors (1901526855830784).

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

516432100504320 is a wasteful number, since it uses less digits than its factorization.

516432100504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352818 (or 352801 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 516432100504320 its reverse (23405001234615), we get a palindrome (539837101738935).

The spelling of 516432100504320 in words is "five hundred sixteen trillion, four hundred thirty-two billion, one hundred million, five hundred four thousand, three hundred twenty".