199640896000 has 960 divisors, whose sum is σ = 641850168960. Its totient is φ = 61363814400.

The previous prime is 199640895997. The next prime is 199640896003. The reversal of 199640896000 is 698046991.

It is an interprime number because it is at equal distance from previous prime (199640895997) and next prime (199640896003).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (199640896003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2405311959 + ... + 2405312041.

It is an arithmetic number, because the mean of its divisors is an integer number (668593926).

Almost surely, 2^199640896000 is an apocalyptic number.

199640896000 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 199640896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320925084480).

199640896000 is an abundant number, since it is smaller than the sum of its proper divisors (442209272960).

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

199640896000 is an equidigital number, since it uses as much as digits as its factorization.

199640896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The spelling of 199640896000 in words is "one hundred ninety-nine billion, six hundred forty million, eight hundred ninety-six thousand".