516409344000 has 1200 divisors, whose sum is σ = 2107881711936. Its totient is φ = 124747776000.

The previous prime is 516409343987. The next prime is 516409344023. The reversal of 516409344000 is 443904615.

516409344000 is a `hidden beast` number, since 5 + 1 + 640 + 9 + 3 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×516409344000² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1824767859 + ... + 1824768141.

Almost surely, 2^516409344000 is an apocalyptic number.

516409344000 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 516409344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053940855968).

516409344000 is an abundant number, since it is smaller than the sum of its proper divisors (1591472367936).

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

516409344000 is an equidigital number, since it uses as much as digits as its factorization.

516409344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 516409344000 in words is "five hundred sixteen billion, four hundred nine million, three hundred forty-four thousand".