199489893120 has 1152 divisors, whose sum is σ = 839901511680. Its totient is φ = 43893964800.

The previous prime is 199489893061. The next prime is 199489893143. The reversal of 199489893120 is 21398984991.

199489893120 is a `hidden beast` number, since 199 + 48 + 98 + 9 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1321125045 + ... + 1321125195.

Almost surely, 2^199489893120 is an apocalyptic number.

199489893120 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 199489893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419950755840).

199489893120 is an abundant number, since it is smaller than the sum of its proper divisors (640411618560).

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

199489893120 is a wasteful number, since it uses less digits than its factorization.

199489893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 199489893120 in words is "one hundred ninety-nine billion, four hundred eighty-nine million, eight hundred ninety-three thousand, one hundred twenty".