199097119200 has 576 divisors, whose sum is σ = 757808497152. Its totient is φ = 44463513600.

The previous prime is 199097119159. The next prime is 199097119223. The reversal of 199097119200 is 2911790991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 199097119200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177289839 + ... + 177290961.

It is an arithmetic number, because the mean of its divisors is an integer number (1315639752).

Almost surely, 2^199097119200 is an apocalyptic number.

199097119200 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 199097119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378904248576).

199097119200 is an abundant number, since it is smaller than the sum of its proper divisors (558711377952).

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

199097119200 is a wasteful number, since it uses less digits than its factorization.

199097119200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 48.

The spelling of 199097119200 in words is "one hundred ninety-nine billion, ninety-seven million, one hundred nineteen thousand, two hundred".