199542110064 has 320 divisors, whose sum is σ = 592477079040. Its totient is φ = 57314037760.

The previous prime is 199542110063. The next prime is 199542110087. The reversal of 199542110064 is 460011245991.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 199542109998 and 199542110025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199542110063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250366114 + ... + 250366910.

It is an arithmetic number, because the mean of its divisors is an integer number (1851490872).

Almost surely, 2^199542110064 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 199542110064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296238539520).

199542110064 is an abundant number, since it is smaller than the sum of its proper divisors (392934968976).

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

199542110064 is a wasteful number, since it uses less digits than its factorization.

199542110064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 199542110064 in words is "one hundred ninety-nine billion, five hundred forty-two million, one hundred ten thousand, sixty-four".