119895395401728 has 1824 divisors, whose sum is σ = 406719205401600. Its totient is φ = 35114025222144.

The previous prime is 119895395401679. The next prime is 119895395401741. The reversal of 119895395401728 is 827104593598911.

119895395401728 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 9 + 5 + 3 + 9 + 540 + 1 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1824).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1642402676700 + ... + 1642402676772.

Almost surely, 2^{119895395401728} is an apocalyptic number.

119895395401728 is a gapful number since it is divisible by the number (18) 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 119895395401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203359602700800).

119895395401728 is an abundant number, since it is smaller than the sum of its proper divisors (286823809999872).

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

119895395401728 is an frugal number, since it uses more digits than its factorization.

119895395401728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 72.

The spelling of 119895395401728 in words is "one hundred nineteen trillion, eight hundred ninety-five billion, three hundred ninety-five million, four hundred one thousand, seven hundred twenty-eight".