12095975808 has 384 divisors, whose sum is σ = 42450278400. Its totient is φ = 3318174720.

The previous prime is 12095975803. The next prime is 12095975861. The reversal of 12095975808 is 80857959021.

12095975808 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 59 + 7 + 580 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12095975803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95243841 + ... + 95243967.

It is an arithmetic number, because the mean of its divisors is an integer number (110547600).

Almost surely, 2^12095975808 is an apocalyptic number.

12095975808 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 12095975808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21225139200).

12095975808 is an abundant number, since it is smaller than the sum of its proper divisors (30354302592).

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

12095975808 is an equidigital number, since it uses as much as digits as its factorization.

12095975808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 12095975808 in words is "twelve billion, ninety-five million, nine hundred seventy-five thousand, eight hundred eight".