12475593774720 has 768 divisors, whose sum is σ = 45934825248000. Its totient is φ = 3113316974592.

The previous prime is 12475593774659. The next prime is 12475593774727. The reversal of 12475593774720 is 2747739557421.

12475593774720 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 5 + 5 + 93 + 77 + 472 + 0 = 666.

It is a super-2 number, since 2×12475593774720² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12475593774727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1322543124 + ... + 1322552556.

It is an arithmetic number, because the mean of its divisors is an integer number (59810970375).

Almost surely, 2^{12475593774720} is an apocalyptic number.

12475593774720 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 12475593774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22967412624000).

12475593774720 is an abundant number, since it is smaller than the sum of its proper divisors (33459231473280).

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

12475593774720 is a wasteful number, since it uses less digits than its factorization.

12475593774720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9697 (or 9682 counting only the distinct ones).

The product of its (nonzero) digits is 103723200, while the sum is 63.

The spelling of 12475593774720 in words is "twelve trillion, four hundred seventy-five billion, five hundred ninety-three million, seven hundred seventy-four thousand, seven hundred twenty".