199062427200 has 1344 divisors, whose sum is σ = 840474539520. Its totient is φ = 40131624960.

The previous prime is 199062427199. The next prime is 199062427211. The reversal of 199062427200 is 2724260991.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1761614344 + ... + 1761614456.

It is an arithmetic number, because the mean of its divisors is an integer number (625353080).

Almost surely, 2^199062427200 is an apocalyptic number.

199062427200 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 199062427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420237269760).

199062427200 is an abundant number, since it is smaller than the sum of its proper divisors (641412112320).

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

199062427200 is a wasteful number, since it uses less digits than its factorization.

199062427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 199062427200 in words is "one hundred ninety-nine billion, sixty-two million, four hundred twenty-seven thousand, two hundred".