199704960000 has 1760 divisors, whose sum is σ = 916762542080. Its totient is φ = 41803776000.

The previous prime is 199704959929. The next prime is 199704960019. The reversal of 199704960000 is 69407991.

199704960000 is a `hidden beast` number, since 1 + 99 + 70 + 496 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1572479937 + ... + 1572480063.

It is an arithmetic number, because the mean of its divisors is an integer number (520887808).

Almost surely, 2^199704960000 is an apocalyptic number.

199704960000 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 199704960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458381271040).

199704960000 is an abundant number, since it is smaller than the sum of its proper divisors (717057582080).

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

199704960000 is a wasteful number, since it uses less digits than its factorization.

199704960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 199704960000 in words is "one hundred ninety-nine billion, seven hundred four million, nine hundred sixty thousand".