199595240064 has 192 divisors, whose sum is σ = 626911159680. Its totient is φ = 60450508800.

The previous prime is 199595240059. The next prime is 199595240069. The reversal of 199595240064 is 460042595991.

199595240064 is a `hidden beast` number, since 1 + 9 + 9 + 59 + 524 + 0 + 0 + 64 = 666.

199595240064 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199595240059) and next prime (199595240069).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (199595240069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33843964 + ... + 33849860.

It is an arithmetic number, because the mean of its divisors is an integer number (3265162290).

Almost surely, 2^199595240064 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 199595240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313455579840).

199595240064 is an abundant number, since it is smaller than the sum of its proper divisors (427315919616).

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

199595240064 is a wasteful number, since it uses less digits than its factorization.

199595240064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8599 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 199595240064 in words is "one hundred ninety-nine billion, five hundred ninety-five million, two hundred forty thousand, sixty-four".