12527134560 has 144 divisors (see below), whose sum is σ = 43141578480. Its totient is φ = 3309880320.

The previous prime is 12527134531. The next prime is 12527134567. The reversal of 12527134560 is 6543172521.

12527134560 is a `hidden beast` number, since 1 + 25 + 2 + 71 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12527134567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117055 + ... + 196865.

It is an arithmetic number, because the mean of its divisors is an integer number (299594295).

Almost surely, 2^12527134560 is an apocalyptic number.

12527134560 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 12527134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21570789240).

12527134560 is an abundant number, since it is smaller than the sum of its proper divisors (30614443920).

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

12527134560 is a wasteful number, since it uses less digits than its factorization.

12527134560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79941 (or 79930 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 12527134560 in words is "twelve billion, five hundred twenty-seven million, one hundred thirty-four thousand, five hundred sixty".