512799210000 has 2025 divisors, whose sum is σ = 2369364216219. Its totient is φ = 103118400000.

The previous prime is 512799209977. The next prime is 512799210017. The reversal of 512799210000 is 12997215.

The square root of 512799210000 is 716100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 40203458064 + 472595751936 = 200508^2 + 687456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 16541909985 + ... + 16541910015.

Almost surely, 2^512799210000 is an apocalyptic number.

512799210000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

512799210000 is the 716100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512799210000

512799210000 is an abundant number, since it is smaller than the sum of its proper divisors (1856565006219).

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

512799210000 is a wasteful number, since it uses less digits than its factorization.

512799210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

Multiplying 512799210000 by its sum of digits (36), we get a square (18460771560000 = 4296600²).

512799210000 divided by its sum of digits (36) gives a square (14244422500 = 119350²).

The spelling of 512799210000 in words is "five hundred twelve billion, seven hundred ninety-nine million, two hundred ten thousand".