12095788760640 has 2016 divisors, whose sum is σ = 51200956759680. Its totient is φ = 2704202661888.

The previous prime is 12095788760599. The next prime is 12095788760641. The reversal of 12095788760640 is 4606788759021.

12095788760640 is a `hidden beast` number, since 12 + 0 + 9 + 5 + 7 + 8 + 8 + 7 + 606 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (12095788760641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6478728987 + ... + 6478730853.

It is an arithmetic number, because the mean of its divisors is an integer number (25397299980).

Almost surely, 2^{12095788760640} is an apocalyptic number.

12095788760640 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 12095788760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25600478379840).

12095788760640 is an abundant number, since it is smaller than the sum of its proper divisors (39105167999040).

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

12095788760640 is a wasteful number, since it uses less digits than its factorization.

12095788760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 12095788760640 in words is "twelve trillion, ninety-five billion, seven hundred eighty-eight million, seven hundred sixty thousand, six hundred forty".