12811253760 has 192 divisors, whose sum is σ = 45540986400. Its totient is φ = 3416260608.

The previous prime is 12811253743. The next prime is 12811253761. The reversal of 12811253760 is 6735211821.

12811253760 is a `hidden beast` number, since 1 + 2 + 8 + 112 + 537 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×12811253760³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12811253761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253312 + ... + 299648.

Almost surely, 2^12811253760 is an apocalyptic number.

12811253760 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 12811253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22770493200).

12811253760 is an abundant number, since it is smaller than the sum of its proper divisors (32729732640).

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

12811253760 is an equidigital number, since it uses as much as digits as its factorization.

12811253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46373 (or 46347 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 12811253760 in words is "twelve billion, eight hundred eleven million, two hundred fifty-three thousand, seven hundred sixty".