13626802960272 has 50 divisors (see below), whose sum is σ = 39439921225958. Its totient is φ = 4542267652992.

The previous prime is 13626802960249. The next prime is 13626802960283. The reversal of 13626802960272 is 27206920862631.

13626802960272 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 6 + 8 + 0 + 29 + 602 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11252294549136 + 2374508411136 = 3354444^2 + 1540944^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5257252933 + ... + 5257255524.

Almost surely, 2^{13626802960272} is an apocalyptic number.

13626802960272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13626802960272 is an abundant number, since it is smaller than the sum of its proper divisors (25813118265686).

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

13626802960272 is a wasteful number, since it uses less digits than its factorization.

13626802960272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10514508477 (or 10514508462 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13626802960272 in words is "thirteen trillion, six hundred twenty-six billion, eight hundred two million, nine hundred sixty thousand, two hundred seventy-two".