12540657888 has 144 divisors (see below), whose sum is σ = 38953789056. Its totient is φ = 3795390720.

The previous prime is 12540657847. The next prime is 12540657889. The reversal of 12540657888 is 88875604521.

12540657888 is a `hidden beast` number, since 1 + 25 + 40 + 6 + 578 + 8 + 8 = 666.

12540657888 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 (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12540657889) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3112131 + ... + 3116157.

It is an arithmetic number, because the mean of its divisors is an integer number (270512424).

Almost surely, 2^12540657888 is an apocalyptic number.

12540657888 is a gapful number since it is divisible by the number (18) 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 12540657888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476894528).

12540657888 is an abundant number, since it is smaller than the sum of its proper divisors (26413131168).

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

12540657888 is a wasteful number, since it uses less digits than its factorization.

12540657888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 12540657888 in words is "twelve billion, five hundred forty million, six hundred fifty-seven thousand, eight hundred eighty-eight".