12527264000 has 144 divisors (see below), whose sum is σ = 31323605040. Its totient is φ = 4992204800.

The previous prime is 12527263999. The next prime is 12527264027. The reversal of 12527264000 is 46272521.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8659419136 + 3867844864 = 93056^2 + 62192^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11295446 + ... + 11296554.

It is an arithmetic number, because the mean of its divisors is an integer number (217525035).

Almost surely, 2^12527264000 is an apocalyptic number.

12527264000 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 12527264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15661802520).

12527264000 is an abundant number, since it is smaller than the sum of its proper divisors (18796341040).

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

12527264000 is an equidigital number, since it uses as much as digits as its factorization.

12527264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 12527264000 in words is "twelve billion, five hundred twenty-seven million, two hundred sixty-four thousand".