199135272960 has 1120 divisors, whose sum is σ = 812602042560. Its totient is φ = 46438023168.

The previous prime is 199135272949. The next prime is 199135272967. The reversal of 199135272960 is 69272531991.

199135272960 is a `hidden beast` number, since 1 + 9 + 91 + 3 + 527 + 29 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 199135272897 and 199135272906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199135272967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10480803831 + ... + 10480803849.

It is an arithmetic number, because the mean of its divisors is an integer number (725537538).

Almost surely, 2^199135272960 is an apocalyptic number.

199135272960 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 199135272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406301021280).

199135272960 is an abundant number, since it is smaller than the sum of its proper divisors (613466769600).

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

199135272960 is an frugal number, since it uses more digits than its factorization.

199135272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 199135272960 in words is "one hundred ninety-nine billion, one hundred thirty-five million, two hundred seventy-two thousand, nine hundred sixty".