512028822720 has 224 divisors, whose sum is σ = 1664801994240. Its totient is φ = 133261148160.

The previous prime is 512028822703. The next prime is 512028822727. The reversal of 512028822720 is 27228820215.

It is not an unprimeable number, because it can be changed into a prime (512028822727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62369976 + ... + 62378184.

It is an arithmetic number, because the mean of its divisors is an integer number (7432151760).

Almost surely, 2^512028822720 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 512028822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832400997120).

512028822720 is an abundant number, since it is smaller than the sum of its proper divisors (1152773171520).

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

512028822720 is a wasteful number, since it uses less digits than its factorization.

512028822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9783 (or 9773 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 512028822720 in words is "five hundred twelve billion, twenty-eight million, eight hundred twenty-two thousand, seven hundred twenty".