12527053056 has 270 divisors, whose sum is σ = 43455445110. Its totient is φ = 3578867712.

The previous prime is 12527053043. The next prime is 12527053061. The reversal of 12527053056 is 65035072521.

12527053056 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 70 + 530 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6502809600 + 6024243456 = 80640^2 + 77616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12527053056.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1009900 + ... + 1022228.

It is an arithmetic number, because the mean of its divisors is an integer number (160946093).

Almost surely, 2^12527053056 is an apocalyptic number.

12527053056 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 12527053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21727722555).

12527053056 is an abundant number, since it is smaller than the sum of its proper divisors (30928392054).

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

12527053056 is an equidigital number, since it uses as much as digits as its factorization.

12527053056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12371 (or 12341 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 12527053056 in words is "twelve billion, five hundred twenty-seven million, fifty-three thousand, fifty-six".