199089408000 has 768 divisors, whose sum is σ = 783755481600. Its totient is φ = 43902566400.

The previous prime is 199089407989. The next prime is 199089408013. The reversal of 199089408000 is 804980991.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155903362 + ... + 155904638.

It is an arithmetic number, because the mean of its divisors is an integer number (1020514950).

Almost surely, 2^199089408000 is an apocalyptic number.

199089408000 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 199089408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391877740800).

199089408000 is an abundant number, since it is smaller than the sum of its proper divisors (584666073600).

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

199089408000 is a wasteful number, since it uses less digits than its factorization.

199089408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The spelling of 199089408000 in words is "one hundred ninety-nine billion, eighty-nine million, four hundred eight thousand".