13055265264000 has 256 divisors, whose sum is σ = 44333776992960. Its totient is φ = 3396491264000.

The previous prime is 13055265263977. The next prime is 13055265264023. The reversal of 13055265264000 is 46256255031.

It is an interprime number because it is at equal distance from previous prime (13055265263977) and next prime (13055265264023).

It is a super-2 number, since 2×13055265264000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13055265264000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348887 + ... + 5284886.

Almost surely, 2^{13055265264000} is an apocalyptic number.

13055265264000 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 13055265264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22166888496480).

13055265264000 is an abundant number, since it is smaller than the sum of its proper divisors (31278511728960).

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

13055265264000 is an equidigital number, since it uses as much as digits as its factorization.

13055265264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6633846 (or 6633824 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 13055265264000 in words is "thirteen trillion, fifty-five billion, two hundred sixty-five million, two hundred sixty-four thousand".