12511868040 has 256 divisors, whose sum is σ = 48473856000. Its totient is φ = 2811283200.

The previous prime is 12511868023. The next prime is 12511868053. The reversal of 12511868040 is 4086811521.

12511868040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12511867986 and 12511868004.

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 63 ways as a sum of consecutive naturals, for example, 432015 + ... + 460065.

It is an arithmetic number, because the mean of its divisors is an integer number (189351000).

Almost surely, 2^12511868040 is an apocalyptic number.

12511868040 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 12511868040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24236928000).

12511868040 is an abundant number, since it is smaller than the sum of its proper divisors (35961987960).

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

12511868040 is a wasteful number, since it uses less digits than its factorization.

12511868040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28137 (or 28127 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 12511868040 in words is "twelve billion, five hundred eleven million, eight hundred sixty-eight thousand, forty".