12527663040 has 224 divisors, whose sum is σ = 44348156160. Its totient is φ = 3329123328.

The previous prime is 12527663021. The next prime is 12527663087. The reversal of 12527663040 is 4036672521.

12527663040 is a `hidden beast` number, since 1 + 2 + 527 + 66 + 30 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 12527662986 and 12527663004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2650119 + ... + 2654841.

It is an arithmetic number, because the mean of its divisors is an integer number (197982840).

Almost surely, 2^12527663040 is an apocalyptic number.

12527663040 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 12527663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22174078080).

12527663040 is an abundant number, since it is smaller than the sum of its proper divisors (31820493120).

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

12527663040 is a wasteful number, since it uses less digits than its factorization.

12527663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12527663040 in words is "twelve billion, five hundred twenty-seven million, six hundred sixty-three thousand, forty".