516622049952 has 192 divisors, whose sum is σ = 1438302096000. Its totient is φ = 161913765888.

The previous prime is 516622049917. The next prime is 516622049969. The reversal of 516622049952 is 259940226615.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 516622049895 and 516622049904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242658424 + ... + 242660552.

It is an arithmetic number, because the mean of its divisors is an integer number (7491156750).

Almost surely, 2^516622049952 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 516622049952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719151048000).

516622049952 is an abundant number, since it is smaller than the sum of its proper divisors (921680046048).

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

516622049952 is a wasteful number, since it uses less digits than its factorization.

516622049952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 516622049952 in words is "five hundred sixteen billion, six hundred twenty-two million, forty-nine thousand, nine hundred fifty-two".