12527706240 has 1280 divisors, whose sum is σ = 56871936000. Its totient is φ = 2561974272.

The previous prime is 12527706209. The next prime is 12527706253. The reversal of 12527706240 is 4260772521.

It is a happy number.

12527706240 is a `hidden beast` number, since 1 + 2 + 5 + 27 + 7 + 0 + 624 + 0 = 666.

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 = 12527706195 and 12527706204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 158578521 + ... + 158578599.

It is an arithmetic number, because the mean of its divisors is an integer number (44431200).

Almost surely, 2^12527706240 is an apocalyptic number.

12527706240 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 12527706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435968000).

12527706240 is an abundant number, since it is smaller than the sum of its proper divisors (44344229760).

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

12527706240 is a wasteful number, since it uses less digits than its factorization.

12527706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 12527706240 in words is "twelve billion, five hundred twenty-seven million, seven hundred six thousand, two hundred forty".