12653056440 has 128 divisors (see below), whose sum is σ = 42201576000. Its totient is φ = 3372171264.

The previous prime is 12653056421. The next prime is 12653056477. The reversal of 12653056440 is 4465035621.

12653056440 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 3 + 0 + 5 + 644 + 0 = 666.

12653056440 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 = 12653056395 and 12653056404.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3420672 + ... + 3424368.

Almost surely, 2^12653056440 is an apocalyptic number.

12653056440 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 12653056440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21100788000).

12653056440 is an abundant number, since it is smaller than the sum of its proper divisors (29548519560).

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

12653056440 is a wasteful number, since it uses less digits than its factorization.

12653056440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 12653056440 in words is "twelve billion, six hundred fifty-three million, fifty-six thousand, four hundred forty".