13265577504256 has 240 divisors, whose sum is σ = 34369940183040. Its totient is φ = 5001678950400.

The previous prime is 13265577504239. The next prime is 13265577504307. The reversal of 13265577504256 is 65240577556231.

It is a super-2 number, since 2×13265577504256² (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 13265577504256.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12950205 + ... + 13936963.

It is an arithmetic number, because the mean of its divisors is an integer number (143208084096).

Almost surely, 2^{13265577504256} is an apocalyptic number.

13265577504256 is a gapful number since it is divisible by the number (16) 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 13265577504256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184970091520).

13265577504256 is an abundant number, since it is smaller than the sum of its proper divisors (21104362678784).

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

13265577504256 is an equidigital number, since it uses as much as digits as its factorization.

13265577504256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986837 (or 986810 counting only the distinct ones).

The product of its (nonzero) digits is 52920000, while the sum is 58.

The spelling of 13265577504256 in words is "thirteen trillion, two hundred sixty-five billion, five hundred seventy-seven million, five hundred four thousand, two hundred fifty-six".