199239543264000 has 576 divisors, whose sum is σ = 667667023575552. Its totient is φ = 52658464768000.

The previous prime is 199239543263947. The next prime is 199239543264019. The reversal of 199239543264000 is 462345932991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10400342422 + ... + 10400361578.

It is an arithmetic number, because the mean of its divisors is an integer number (1159144138152).

Almost surely, 2^{199239543264000} is an apocalyptic number.

199239543264000 is a gapful number since it is divisible by the number (10) 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 199239543264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333833511787776).

199239543264000 is an abundant number, since it is smaller than the sum of its proper divisors (468427480311552).

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

199239543264000 is a wasteful number, since it uses less digits than its factorization.

199239543264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20149 (or 20125 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 57.

The spelling of 199239543264000 in words is "one hundred ninety-nine trillion, two hundred thirty-nine billion, five hundred forty-three million, two hundred sixty-four thousand".