13263264000 has 1440 divisors, whose sum is σ = 61114749696. Its totient is φ = 2786918400.

The previous prime is 13263263987. The next prime is 13263264067. The reversal of 13263264000 is 46236231.

13263264000 is a `hidden beast` number, since 13 + 2 + 6 + 3 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 308447979 + ... + 308448021.

Almost surely, 2^13263264000 is an apocalyptic number.

13263264000 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 13263264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30557374848).

13263264000 is an abundant number, since it is smaller than the sum of its proper divisors (47851485696).

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

13263264000 is an equidigital number, since it uses as much as digits as its factorization.

13263264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 13263264000 in words is "thirteen billion, two hundred sixty-three million, two hundred sixty-four thousand".