12095075139840 has 1728 divisors, whose sum is σ = 55163275776000. Its totient is φ = 2481147002880.

The previous prime is 12095075139773. The next prime is 12095075139869. The reversal of 12095075139840 is 4893157059021.

It is a happy number.

12095075139840 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 507 + 5 + 1 + 3 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1471595251 + ... + 1471603469.

It is an arithmetic number, because the mean of its divisors is an integer number (31923192000).

Almost surely, 2^{12095075139840} is an apocalyptic number.

12095075139840 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 12095075139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27581637888000).

12095075139840 is an abundant number, since it is smaller than the sum of its proper divisors (43068200636160).

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

12095075139840 is a wasteful number, since it uses less digits than its factorization.

12095075139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8353 (or 8326 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 12095075139840 in words is "twelve trillion, ninety-five billion, seventy-five million, one hundred thirty-nine thousand, eight hundred forty".