12753235440 has 720 divisors, whose sum is σ = 50940489600. Its totient is φ = 2846638080.

The previous prime is 12753235427. The next prime is 12753235471. The reversal of 12753235440 is 4453235721.

12753235440 is a `hidden beast` number, since 1 + 275 + 32 + 354 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 12753235395 and 12753235404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117002106 + ... + 117002214.

It is an arithmetic number, because the mean of its divisors is an integer number (70750680).

Almost surely, 2^12753235440 is an apocalyptic number.

12753235440 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 12753235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25470244800).

12753235440 is an abundant number, since it is smaller than the sum of its proper divisors (38187254160).

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

12753235440 is a wasteful number, since it uses less digits than its factorization.

12753235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 12753235440 in words is "twelve billion, seven hundred fifty-three million, two hundred thirty-five thousand, four hundred forty".