12253713776640 has 540 divisors, whose sum is σ = 49413614029416. Its totient is φ = 2800840605696.

The previous prime is 12253713776621. The next prime is 12253713776641. The reversal of 12253713776640 is 4667731735221.

12253713776640 is a `hidden beast` number, since 1 + 2 + 2 + 537 + 1 + 3 + 7 + 7 + 66 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12253713776641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35957127 + ... + 36296313.

Almost surely, 2^{12253713776640} is an apocalyptic number.

12253713776640 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 12253713776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24706807014708).

12253713776640 is an abundant number, since it is smaller than the sum of its proper divisors (37159900252776).

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

12253713776640 is an equidigital number, since it uses as much as digits as its factorization.

12253713776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339240 (or 339204 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 12253713776640 in words is "twelve trillion, two hundred fifty-three billion, seven hundred thirteen million, seven hundred seventy-six thousand, six hundred forty".