199868567040 has 640 divisors, whose sum is σ = 727603430400. Its totient is φ = 51991511040.

The previous prime is 199868567033. The next prime is 199868567051. The reversal of 199868567040 is 40765868991.

199868567040 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 68 + 567 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

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, 682145134 + ... + 682145426.

It is an arithmetic number, because the mean of its divisors is an integer number (1136880360).

Almost surely, 2^199868567040 is an apocalyptic number.

199868567040 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 199868567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363801715200).

199868567040 is an abundant number, since it is smaller than the sum of its proper divisors (527734863360).

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

199868567040 is a wasteful number, since it uses less digits than its factorization.

199868567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 199868567040 in words is "one hundred ninety-nine billion, eight hundred sixty-eight million, five hundred sixty-seven thousand, forty".