199350385920 has 432 divisors, whose sum is σ = 795950867712. Its totient is φ = 45121536000.

The previous prime is 199350385919. The next prime is 199350385939. The reversal of 199350385920 is 29583053991.

199350385920 is a `hidden beast` number, since 19 + 9 + 3 + 5 + 0 + 38 + 592 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8293920 + ... + 8317920.

Almost surely, 2^199350385920 is an apocalyptic number.

199350385920 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 199350385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397975433856).

199350385920 is an abundant number, since it is smaller than the sum of its proper divisors (596600481792).

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

199350385920 is a wasteful number, since it uses less digits than its factorization.

199350385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24138 (or 24121 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 199350385920 in words is "one hundred ninety-nine billion, three hundred fifty million, three hundred eighty-five thousand, nine hundred twenty".