12803254786872 has 336 divisors, whose sum is σ = 39767620450320. Its totient is φ = 3859630663680.

The previous prime is 12803254786871. The next prime is 12803254786901. The reversal of 12803254786872 is 27868745230821.

12803254786872 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 3 + 2 + 547 + 8 + 6 + 87 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12803254786871) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 136147693 + ... + 136241699.

It is an arithmetic number, because the mean of its divisors is an integer number (118356013245).

Almost surely, 2^{12803254786872} is an apocalyptic number.

12803254786872 is a gapful number since it is divisible by the number (12) 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 12803254786872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883810225160).

12803254786872 is an abundant number, since it is smaller than the sum of its proper divisors (26964365663448).

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

12803254786872 is a wasteful number, since it uses less digits than its factorization.

12803254786872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94246 (or 94216 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 12803254786872 in words is "twelve trillion, eight hundred three billion, two hundred fifty-four million, seven hundred eighty-six thousand, eight hundred seventy-two".