12753893010285 has 96 divisors (see below), whose sum is σ = 26862025462272. Its totient is φ = 5464619458560.

The previous prime is 12753893010281. The next prime is 12753893010301. The reversal of 12753893010285 is 58201039835721.

12753893010285 is a `hidden beast` number, since 1 + 2 + 7 + 53 + 8 + 9 + 301 + 0 + 285 = 666.

It is not a de Polignac number, because 12753893010285 - 2² = 12753893010281 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12753893010281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3650689 + ... + 6231798.

It is an arithmetic number, because the mean of its divisors is an integer number (279812765232).

Almost surely, 2^{12753893010285} is an apocalyptic number.

12753893010285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12753893010285 is an abundant number, since it is smaller than the sum of its proper divisors (14108132451987).

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

12753893010285 is a wasteful number, since it uses less digits than its factorization.

12753893010285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9882763 (or 9882760 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 12753893010285 in words is "twelve trillion, seven hundred fifty-three billion, eight hundred ninety-three million, ten thousand, two hundred eighty-five".