12851676101880 has 1152 divisors, whose sum is σ = 55043290411200. Its totient is φ = 2569538764800.

The previous prime is 12851676101851. The next prime is 12851676101903. The reversal of 12851676101880 is 8810167615821.

12851676101880 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 1 + 6 + 7 + 610 + 18 + 8 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 580750656 + ... + 580772784.

Almost surely, 2^{12851676101880} is an apocalyptic number.

12851676101880 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 12851676101880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27521645205600).

12851676101880 is an abundant number, since it is smaller than the sum of its proper divisors (42191614309320).

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

12851676101880 is a wasteful number, since it uses less digits than its factorization.

12851676101880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22285 (or 22271 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 12851676101880 in words is "twelve trillion, eight hundred fifty-one billion, six hundred seventy-six million, one hundred one thousand, eight hundred eighty".