12715226726400 has 1152 divisors, whose sum is σ = 51359769014400. Its totient is φ = 3081830400000.

The previous prime is 12715226726351. The next prime is 12715226726401. The reversal of 12715226726400 is 462762251721.

12715226726400 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 522 + 67 + 2 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (12715226726401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2676324025 + ... + 2676328775.

It is an arithmetic number, because the mean of its divisors is an integer number (44583132825).

Almost surely, 2^{12715226726400} is an apocalyptic number.

12715226726400 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 12715226726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25679884507200).

12715226726400 is an abundant number, since it is smaller than the sum of its proper divisors (38644542288000).

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

12715226726400 is an equidigital number, since it uses as much as digits as its factorization.

12715226726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 12715226726400 in words is "twelve trillion, seven hundred fifteen billion, two hundred twenty-six million, seven hundred twenty-six thousand, four hundred".