512360003005216 has 192 divisors, whose sum is σ = 1075244589619200. Its totient is φ = 239817544243200.

The previous prime is 512360003005177. The next prime is 512360003005243. The reversal of 512360003005216 is 612500300063215.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5340985540 + ... + 5341081468.

It is an arithmetic number, because the mean of its divisors is an integer number (5600232237600).

Almost surely, 2^{512360003005216} 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 512360003005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537622294809600).

512360003005216 is an abundant number, since it is smaller than the sum of its proper divisors (562884586613984).

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

512360003005216 is a wasteful number, since it uses less digits than its factorization.

512360003005216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96783 (or 96775 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 512360003005216 in words is "five hundred twelve trillion, three hundred sixty billion, three million, five thousand, two hundred sixteen".