13656696422400 has 756 divisors, whose sum is σ = 50788369676142. Its totient is φ = 3641148702720.

The previous prime is 13656696422353. The next prime is 13656696422459. The reversal of 13656696422400 is 422469665631.

13656696422400 is a `hidden beast` number, since 1 + 36 + 5 + 66 + 96 + 422 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10598618824704 + 3058077597696 = 3255552^2 + 1748736^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2388784342 + ... + 2388790058.

Almost surely, 2^{13656696422400} is an apocalyptic number.

13656696422400 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 13656696422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25394184838071).

13656696422400 is an abundant number, since it is smaller than the sum of its proper divisors (37131673253742).

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

13656696422400 is an frugal number, since it uses more digits than its factorization.

13656696422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 13656696422400 in words is "thirteen trillion, six hundred fifty-six billion, six hundred ninety-six million, four hundred twenty-two thousand, four hundred".