12527252640 has 672 divisors, whose sum is σ = 51693828480. Its totient is φ = 2808317952.

The previous prime is 12527252593. The next prime is 12527252671. The reversal of 12527252640 is 4625272521.

12527252640 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 7 + 2 + 5 + 2 + 640 = 666.

12527252640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 12527252595 and 12527252604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 54704046 + ... + 54704274.

It is an arithmetic number, because the mean of its divisors is an integer number (76925340).

Almost surely, 2^12527252640 is an apocalyptic number.

12527252640 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 12527252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25846914240).

12527252640 is an abundant number, since it is smaller than the sum of its proper divisors (39166575840).

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

12527252640 is an equidigital number, since it uses as much as digits as its factorization.

12527252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 12527252640 in words is "twelve billion, five hundred twenty-seven million, two hundred fifty-two thousand, six hundred forty".