12653072640 has 288 divisors, whose sum is σ = 48356461440. Its totient is φ = 3114491904.

The previous prime is 12653072573. The next prime is 12653072657. The reversal of 12653072640 is 4627035621.

12653072640 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 3 + 0 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 12653072595 and 12653072604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435199 + ... + 463361.

It is an arithmetic number, because the mean of its divisors is an integer number (167904380).

Almost surely, 2^12653072640 is an apocalyptic number.

12653072640 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 12653072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24178230720).

12653072640 is an abundant number, since it is smaller than the sum of its proper divisors (35703388800).

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

12653072640 is a wasteful number, since it uses less digits than its factorization.

12653072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28206 (or 28186 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12653072640 in words is "twelve billion, six hundred fifty-three million, seventy-two thousand, six hundred forty".