12745249920 has 288 divisors, whose sum is σ = 47660457780. Its totient is φ = 3137052672.

The previous prime is 12745249879. The next prime is 12745249939. The reversal of 12745249920 is 2994254721.

12745249920 is a `hidden beast` number, since 12 + 7 + 4 + 524 + 99 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3579868224 + 9165381696 = 59832^2 + 95736^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 966894 + ... + 979986.

Almost surely, 2^12745249920 is an apocalyptic number.

12745249920 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 12745249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23830228890).

12745249920 is an abundant number, since it is smaller than the sum of its proper divisors (34915207860).

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

12745249920 is a wasteful number, since it uses less digits than its factorization.

12745249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13144 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12745249920 in words is "twelve billion, seven hundred forty-five million, two hundred forty-nine thousand, nine hundred twenty".