516329421300000 has 8640 divisors, whose sum is σ = 2668813002535680. Its totient is φ = 95252889600000.

The previous prime is 516329421299957. The next prime is 516329421300029. The reversal of 516329421300000 is 3124923615.

516329421300000 is a `hidden beast` number, since 5 + 1 + 6 + 329 + 4 + 21 + 300 + 0 + 0 + 0 = 666.

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 1439 ways as a sum of consecutive naturals, for example, 2216006099884 + ... + 2216006100116.

It is an arithmetic number, because the mean of its divisors is an integer number (308890393812).

Almost surely, 2^{516329421300000} is an apocalyptic number.

516329421300000 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 516329421300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334406501267840).

516329421300000 is an abundant number, since it is smaller than the sum of its proper divisors (2152483581235680).

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

516329421300000 is a wasteful number, since it uses less digits than its factorization.

516329421300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 516329421300000 in words is "five hundred sixteen trillion, three hundred twenty-nine billion, four hundred twenty-one million, three hundred thousand".