13260177145215 has 128 divisors (see below), whose sum is σ = 31651332249600. Its totient is φ = 5086821150720.

The previous prime is 13260177145177. The next prime is 13260177145223. The reversal of 13260177145215 is 51254177106231.

13260177145215 is a `hidden beast` number, since 1 + 3 + 2 + 601 + 7 + 7 + 14 + 5 + 21 + 5 = 666.

It is not a de Polignac number, because 13260177145215 - 2¹⁰ = 13260177144191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48927570 + ... + 49197839.

It is an arithmetic number, because the mean of its divisors is an integer number (247276033200).

Almost surely, 2^{13260177145215} is an apocalyptic number.

13260177145215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13260177145215 is an abundant number, since it is smaller than the sum of its proper divisors (18391155104385).

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

13260177145215 is a wasteful number, since it uses less digits than its factorization.

13260177145215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98125454 (or 98125448 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 13260177145215 in words is "thirteen trillion, two hundred sixty billion, one hundred seventy-seven million, one hundred forty-five thousand, two hundred fifteen".