12025566619776 has 1024 divisors, whose sum is σ = 38163654144000. Its totient is φ = 3722781523968.

The previous prime is 12025566619763. The next prime is 12025566619831. The reversal of 12025566619776 is 67791666552021.

It is a happy number.

It is a super-2 number, since 2×12025566619776² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53926307601 + ... + 53926307823.

It is an arithmetic number, because the mean of its divisors is an integer number (37269193500).

Almost surely, 2^{12025566619776} is an apocalyptic number.

12025566619776 is a gapful number since it is divisible by the number (16) 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 12025566619776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19081827072000).

12025566619776 is an abundant number, since it is smaller than the sum of its proper divisors (26138087524224).

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

12025566619776 is a wasteful number, since it uses less digits than its factorization.

12025566619776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 12025566619776 in words is "twelve trillion, twenty-five billion, five hundred sixty-six million, six hundred nineteen thousand, seven hundred seventy-six".