512483328000 has 1088 divisors, whose sum is σ = 2172297354240. Its totient is φ = 116785152000.

The previous prime is 512483327999. The next prime is 512483328043. The reversal of 512483328000 is 823384215.

512483328000 is a `hidden beast` number, since 5 + 1 + 248 + 332 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×512483328000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1548287835 + ... + 1548288165.

Almost surely, 2^512483328000 is an apocalyptic number.

512483328000 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 512483328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086148677120).

512483328000 is an abundant number, since it is smaller than the sum of its proper divisors (1659814026240).

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

512483328000 is an frugal number, since it uses more digits than its factorization.

512483328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 512483328000 in words is "five hundred twelve billion, four hundred eighty-three million, three hundred twenty-eight thousand".