516790721214 has 64 divisors (see below), whose sum is σ = 1160870780160. Its totient is φ = 170399700000.

The previous prime is 516790721203. The next prime is 516790721243. The reversal of 516790721214 is 412127097615.

516790721214 is a `hidden beast` number, since 516 + 7 + 9 + 0 + 7 + 2 + 121 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 516790721214.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5906889 + ... + 5993739.

It is an arithmetic number, because the mean of its divisors is an integer number (18138605940).

Almost surely, 2^516790721214 is an apocalyptic number.

516790721214 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 516790721214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580435390080).

516790721214 is an abundant number, since it is smaller than the sum of its proper divisors (644080058946).

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

516790721214 is a wasteful number, since it uses less digits than its factorization.

516790721214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88054 (or 88048 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 516790721214 in words is "five hundred sixteen billion, seven hundred ninety million, seven hundred twenty-one thousand, two hundred fourteen".