13056723456000 has 1248 divisors, whose sum is σ = 50802265807488. Its totient is φ = 2968997068800.

The previous prime is 13056723455939. The next prime is 13056723456001. The reversal of 13056723456000 is 65432765031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13056723456001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21299711694 + ... + 21299712306.

It is an arithmetic number, because the mean of its divisors is an integer number (40706943756).

Almost surely, 2^{13056723456000} is an apocalyptic number.

13056723456000 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 13056723456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401132903744).

13056723456000 is an abundant number, since it is smaller than the sum of its proper divisors (37745542351488).

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

13056723456000 is an equidigital number, since it uses as much as digits as its factorization.

13056723456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 13056723456000 in words is "thirteen trillion, fifty-six billion, seven hundred twenty-three million, four hundred fifty-six thousand".