13264054456320 has 2184 divisors, whose sum is σ = 53047914037056. Its totient is φ = 3175271497728.

The previous prime is 13264054456319. The next prime is 13264054456333. The reversal of 13264054456320 is 2365445046231.

13264054456320 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 4 + 0 + 5 + 4 + 4 + 5 + 632 + 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 167 ways as a sum of consecutive naturals, for example, 123963125707 + ... + 123963125813.

Almost surely, 2^{13264054456320} is an apocalyptic number.

13264054456320 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 13264054456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26523957018528).

13264054456320 is an abundant number, since it is smaller than the sum of its proper divisors (39783859580736).

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

13264054456320 is an equidigital number, since it uses as much as digits as its factorization.

13264054456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 13264054456320 in words is "thirteen trillion, two hundred sixty-four billion, fifty-four million, four hundred fifty-six thousand, three hundred twenty".