12513887640 has 192 divisors, whose sum is σ = 42254503200. Its totient is φ = 3330865152.

The previous prime is 12513887593. The next prime is 12513887641. The reversal of 12513887640 is 4678831521.

12513887640 is a `hidden beast` number, since 12 + 513 + 8 + 87 + 6 + 40 = 666.

12513887640 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12513887641) 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 47 ways as a sum of consecutive naturals, for example, 8057104 + ... + 8058656.

Almost surely, 2^12513887640 is an apocalyptic number.

12513887640 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 12513887640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21127251600).

12513887640 is an abundant number, since it is smaller than the sum of its proper divisors (29740615560).

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

12513887640 is a wasteful number, since it uses less digits than its factorization.

12513887640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12513887640 in words is "twelve billion, five hundred thirteen million, eight hundred eighty-seven thousand, six hundred forty".