199563488000 has 144 divisors (see below), whose sum is σ = 505568437920. Its totient is φ = 78471680000.

The previous prime is 199563487999. The next prime is 199563488017. The reversal of 199563488000 is 884365991.

It is a super-2 number, since 2×199563488000² (a number of 23 digits) contains 22 as substring.

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, 1835150 + ... + 1940850.

It is an arithmetic number, because the mean of its divisors is an integer number (3510891930).

Almost surely, 2^199563488000 is an apocalyptic number.

199563488000 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 199563488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252784218960).

199563488000 is an abundant number, since it is smaller than the sum of its proper divisors (306004949920).

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

199563488000 is an equidigital number, since it uses as much as digits as its factorization.

199563488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105791 (or 105767 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 53.

The spelling of 199563488000 in words is "one hundred ninety-nine billion, five hundred sixty-three million, four hundred eighty-eight thousand".