199939777920 has 768 divisors, whose sum is σ = 739090759680. Its totient is φ = 51627663360.

The previous prime is 199939777913. The next prime is 199939777927. The reversal of 199939777920 is 29777939991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (199939777913) and next prime (199939777927).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199939777927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1046805025 + ... + 1046805215.

It is an arithmetic number, because the mean of its divisors is an integer number (962357760).

Almost surely, 2^199939777920 is an apocalyptic number.

199939777920 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 199939777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369545379840).

199939777920 is an abundant number, since it is smaller than the sum of its proper divisors (539150981760).

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

199939777920 is a wasteful number, since it uses less digits than its factorization.

199939777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 121522842, while the sum is 72.

The spelling of 199939777920 in words is "one hundred ninety-nine billion, nine hundred thirty-nine million, seven hundred seventy-seven thousand, nine hundred twenty".