516905209920 has 224 divisors, whose sum is σ = 1796753425536. Its totient is φ = 124863692800.

The previous prime is 516905209913. The next prime is 516905209921. The reversal of 516905209920 is 29902509615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 516905209920.

It is not an unprimeable number, because it can be changed into a prime (516905209921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2880262 + ... + 3054458.

Almost surely, 2^516905209920 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 516905209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898376712768).

516905209920 is an abundant number, since it is smaller than the sum of its proper divisors (1279848215616).

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

516905209920 is a wasteful number, since it uses less digits than its factorization.

516905209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174509 (or 174499 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The spelling of 516905209920 in words is "five hundred sixteen billion, nine hundred five million, two hundred nine thousand, nine hundred twenty".