12811877760 has 256 divisors, whose sum is σ = 44672083200. Its totient is φ = 3097436160.

The previous prime is 12811877753. The next prime is 12811877791. The reversal of 12811877760 is 6777811821.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 11552086 + ... + 11553194.

It is an arithmetic number, because the mean of its divisors is an integer number (174500325).

Almost surely, 2^12811877760 is an apocalyptic number.

12811877760 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 12811877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22336041600).

12811877760 is an abundant number, since it is smaller than the sum of its proper divisors (31860205440).

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

12811877760 is a wasteful number, since it uses less digits than its factorization.

12811877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 48.

The spelling of 12811877760 in words is "twelve billion, eight hundred eleven million, eight hundred seventy-seven thousand, seven hundred sixty".