12745652774400 has 1440 divisors, whose sum is σ = 56491275160320. Its totient is φ = 2672336240640.

The previous prime is 12745652774359. The next prime is 12745652774453. The reversal of 12745652774400 is 447725654721.

12745652774400 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 5 + 6 + 527 + 74 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1708757871 + ... + 1708765329.

Almost surely, 2^{12745652774400} is an apocalyptic number.

12745652774400 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 12745652774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28245637580160).

12745652774400 is an abundant number, since it is smaller than the sum of its proper divisors (43745622385920).

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

12745652774400 is a wasteful number, since it uses less digits than its factorization.

12745652774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676 (or 7652 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 12745652774400 in words is "twelve trillion, seven hundred forty-five billion, six hundred fifty-two million, seven hundred seventy-four thousand, four hundred".