515504244992 has 288 divisors, whose sum is σ = 1236431952000. Its totient is φ = 211867729920.

The previous prime is 515504244991. The next prime is 515504245013. The reversal of 515504244992 is 299442405515.

It is a self number, because there is not a number n which added to its sum of digits gives 515504244992.

It is not an unprimeable number, because it can be changed into a prime (515504244991) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 138091958 + ... + 138095690.

It is an arithmetic number, because the mean of its divisors is an integer number (4293166500).

Almost surely, 2^515504244992 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 515504244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618215976000).

515504244992 is an abundant number, since it is smaller than the sum of its proper divisors (720927707008).

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

515504244992 is a wasteful number, since it uses less digits than its factorization.

515504244992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 50.

The spelling of 515504244992 in words is "five hundred fifteen billion, five hundred four million, two hundred forty-four thousand, nine hundred ninety-two".