199557120 has 272 divisors, whose sum is σ = 754968960. Its totient is φ = 44040192.

The previous prime is 199557103. The next prime is 199557173. The reversal of 199557120 is 21755991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6881266 + ... + 6881294.

Almost surely, 2^199557120 is an apocalyptic number.

199557120 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 199557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377484480).

199557120 is an abundant number, since it is smaller than the sum of its proper divisors (555411840).

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

199557120 is an frugal number, since it uses more digits than its factorization.

199557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 39.

The square root of 199557120 is about 14126.4687731931. The cubic root of 199557120 is about 584.3715656332.

The spelling of 199557120 in words is "one hundred ninety-nine million, five hundred fifty-seven thousand, one hundred twenty".