512996198400 has 1440 divisors, whose sum is σ = 2229584797440. Its totient is φ = 114130944000.

The previous prime is 512996198339. The next prime is 512996198401. The reversal of 512996198400 is 4891699215.

512996198400 is a `hidden beast` number, since 5 + 1 + 2 + 99 + 61 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512996198401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1190246185 + ... + 1190246615.

It is an arithmetic number, because the mean of its divisors is an integer number (1548322776).

Almost surely, 2^512996198400 is an apocalyptic number.

512996198400 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 512996198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114792398720).

512996198400 is an abundant number, since it is smaller than the sum of its proper divisors (1716588599040).

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

512996198400 is a wasteful number, since it uses less digits than its factorization.

512996198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 512996198400 in words is "five hundred twelve billion, nine hundred ninety-six million, one hundred ninety-eight thousand, four hundred".