512447317404000 has 768 divisors, whose sum is σ = 1911317507334144. Its totient is φ = 118809825024000.

The previous prime is 512447317403999. The next prime is 512447317404007. The reversal of 512447317404000 is 404713744215.

It is a super-2 number, since 2×512447317404000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512447317404007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33477964347 + ... + 33477979653.

It is an arithmetic number, because the mean of its divisors is an integer number (2488694671008).

Almost surely, 2^{512447317404000} is an apocalyptic number.

512447317404000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512447317404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955658753667072).

512447317404000 is an abundant number, since it is smaller than the sum of its proper divisors (1398870189930144).

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

512447317404000 is a wasteful number, since it uses less digits than its factorization.

512447317404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26396 (or 26378 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 512447317404000 in words is "five hundred twelve trillion, four hundred forty-seven billion, three hundred seventeen million, four hundred four thousand".