12527267556320 has 96 divisors (see below), whose sum is σ = 32301135218016. Its totient is φ = 4553260646400.

The previous prime is 12527267556317. The next prime is 12527267556337. The reversal of 12527267556320 is 2365576272521.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 2156492 + ... + 5450228.

It is an arithmetic number, because the mean of its divisors is an integer number (336470158521).

Almost surely, 2^{12527267556320} is an apocalyptic number.

12527267556320 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 12527267556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16150567609008).

12527267556320 is an abundant number, since it is smaller than the sum of its proper divisors (19773867661696).

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

12527267556320 is a wasteful number, since it uses less digits than its factorization.

12527267556320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295924 (or 3295916 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 53.

The spelling of 12527267556320 in words is "twelve trillion, five hundred twenty-seven billion, two hundred sixty-seven million, five hundred fifty-six thousand, three hundred twenty".