13256642714400 has 576 divisors, whose sum is σ = 50493443212800. Its totient is φ = 3347376399360.

The previous prime is 13256642714377. The next prime is 13256642714411. The reversal of 13256642714400 is 441724665231.

13256642714400 is a `hidden beast` number, since 1 + 3 + 2 + 566 + 42 + 7 + 1 + 4 + 40 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 963201919 + ... + 963215681.

It is an arithmetic number, because the mean of its divisors is an integer number (87662227800).

Almost surely, 2^{13256642714400} is an apocalyptic number.

13256642714400 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 13256642714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25246721606400).

13256642714400 is an abundant number, since it is smaller than the sum of its proper divisors (37236800498400).

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

13256642714400 is a wasteful number, since it uses less digits than its factorization.

13256642714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16158 (or 16139 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 13256642714400 in words is "thirteen trillion, two hundred fifty-six billion, six hundred forty-two million, seven hundred fourteen thousand, four hundred".