12544746577920 has 672 divisors, whose sum is σ = 44663843128320. Its totient is φ = 3255863869440.

The previous prime is 12544746577877. The next prime is 12544746577939. The reversal of 12544746577920 is 2977564744521.

12544746577920 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 474 + 6 + 5 + 77 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2067698727 + ... + 2067704793.

Almost surely, 2^{12544746577920} is an apocalyptic number.

12544746577920 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 12544746577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22331921564160).

12544746577920 is an abundant number, since it is smaller than the sum of its proper divisors (32119096550400).

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

12544746577920 is an equidigital number, since it uses as much as digits as its factorization.

12544746577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 12544746577920 in words is "twelve trillion, five hundred forty-four billion, seven hundred forty-six million, five hundred seventy-seven thousand, nine hundred twenty".