199961235792 has 560 divisors, whose sum is σ = 638680996800. Its totient is φ = 60398991360.

The previous prime is 199961235791. The next prime is 199961235809. The reversal of 199961235792 is 297532169991.

199961235792 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 612 + 3 + 5 + 7 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199961235791) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 536088918 + ... + 536089290.

It is an arithmetic number, because the mean of its divisors is an integer number (1140501780).

Almost surely, 2^199961235792 is an apocalyptic number.

199961235792 is a gapful number since it is divisible by the number (12) 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 199961235792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319340498400).

199961235792 is an abundant number, since it is smaller than the sum of its proper divisors (438719761008).

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

199961235792 is a wasteful number, since it uses less digits than its factorization.

199961235792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 497 counting only the distinct ones).

The product of its digits is 16533720, while the sum is 63.

The spelling of 199961235792 in words is "one hundred ninety-nine billion, nine hundred sixty-one million, two hundred thirty-five thousand, seven hundred ninety-two".