12811756263000 has 256 divisors, whose sum is σ = 41790798167040. Its totient is φ = 3261644672000.

The previous prime is 12811756262951. The next prime is 12811756263043. The reversal of 12811756263000 is 36265711821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35770807 + ... + 36127193.

It is an arithmetic number, because the mean of its divisors is an integer number (163245305340).

Almost surely, 2^{12811756263000} is an apocalyptic number.

12811756263000 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 12811756263000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20895399083520).

12811756263000 is an abundant number, since it is smaller than the sum of its proper divisors (28979041904040).

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

12811756263000 is a wasteful number, since it uses less digits than its factorization.

12811756263000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356955 (or 356941 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 12811756263000 in words is "twelve trillion, eight hundred eleven billion, seven hundred fifty-six million, two hundred sixty-three thousand".