12747378758400 has 3888 divisors, whose sum is σ = 58680506207232. Its totient is φ = 2696343552000.

The previous prime is 12747378758383. The next prime is 12747378758437. The reversal of 12747378758400 is 485787374721.

12747378758400 is a `hidden beast` number, since 1 + 2 + 7 + 47 + 3 + 7 + 8 + 7 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-3 number, since 3×12747378758400³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 296450668779 + ... + 296450668821.

Almost surely, 2^{12747378758400} is an apocalyptic number.

12747378758400 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 12747378758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29340253103616).

12747378758400 is an abundant number, since it is smaller than the sum of its proper divisors (45933127448832).

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

12747378758400 is a wasteful number, since it uses less digits than its factorization.

12747378758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 63.

The spelling of 12747378758400 in words is "twelve trillion, seven hundred forty-seven billion, three hundred seventy-eight million, seven hundred fifty-eight thousand, four hundred".