195991416000 has 336 divisors, whose sum is σ = 709989171840. Its totient is φ = 51601305600.

The previous prime is 195991415951. The next prime is 195991416031. The reversal of 195991416000 is 614199591.

195991416000 is a `hidden beast` number, since 19 + 599 + 1 + 41 + 6 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5670772 + ... + 5705228.

Almost surely, 2^195991416000 is an apocalyptic number.

195991416000 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 195991416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354994585920).

195991416000 is an abundant number, since it is smaller than the sum of its proper divisors (513997755840).

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

195991416000 is a wasteful number, since it uses less digits than its factorization.

195991416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34569 (or 34546 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 195991416000 in words is "one hundred ninety-five billion, nine hundred ninety-one million, four hundred sixteen thousand".