512782080000 has 480 divisors, whose sum is σ = 1750512844080. Its totient is φ = 133365760000.

The previous prime is 512782079983. The next prime is 512782080029. The reversal of 512782080000 is 80287215.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157438372 + ... + 157441628.

Almost surely, 2^512782080000 is an apocalyptic number.

512782080000 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 512782080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875256422040).

512782080000 is an abundant number, since it is smaller than the sum of its proper divisors (1237730764080).

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

512782080000 is an equidigital number, since it uses as much as digits as its factorization.

512782080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 512782080000 in words is "five hundred twelve billion, seven hundred eighty-two million, eighty thousand".