516561120000 has 270 divisors, whose sum is σ = 1861125758492. Its totient is φ = 137749248000.

The previous prime is 516561119989. The next prime is 516561120001. The reversal of 516561120000 is 21165615.

It is a happy number.

516561120000 is a `hidden beast` number, since 5 + 1 + 656 + 1 + 1 + 2 + 0 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (516561120001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1260639 + ... + 1619361.

Almost surely, 2^516561120000 is an apocalyptic number.

516561120000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516561120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930562879246).

516561120000 is an abundant number, since it is smaller than the sum of its proper divisors (1344564638492).

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

516561120000 is an equidigital number, since it uses as much as digits as its factorization.

516561120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358765 (or 358733 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 516561120000 its reverse (21165615), we get a palindrome (516582285615).

The spelling of 516561120000 in words is "five hundred sixteen billion, five hundred sixty-one million, one hundred twenty thousand".