199749027072 has 288 divisors, whose sum is σ = 647280184320. Its totient is φ = 53413724160.

The previous prime is 199749027041. The next prime is 199749027077. The reversal of 199749027072 is 270720947991.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199749027077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8466172 + ... + 8489732.

It is an arithmetic number, because the mean of its divisors is an integer number (2247500640).

Almost surely, 2^199749027072 is an apocalyptic number.

199749027072 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 199749027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323640092160).

199749027072 is an abundant number, since it is smaller than the sum of its proper divisors (447531157248).

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

199749027072 is a wasteful number, since it uses less digits than its factorization.

199749027072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23689 (or 23675 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 57.

The spelling of 199749027072 in words is "one hundred ninety-nine billion, seven hundred forty-nine million, twenty-seven thousand, seventy-two".