12887554680 has 1152 divisors, whose sum is σ = 59481734400. Its totient is φ = 2453068800.

The previous prime is 12887554661. The next prime is 12887554681. The reversal of 12887554680 is 8645578821.

12887554680 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 7 + 554 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12887554681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 98378215 + ... + 98378345.

It is an arithmetic number, because the mean of its divisors is an integer number (51633450).

Almost surely, 2^12887554680 is an apocalyptic number.

12887554680 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 12887554680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29740867200).

12887554680 is an abundant number, since it is smaller than the sum of its proper divisors (46594179720).

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

12887554680 is a wasteful number, since it uses less digits than its factorization.

12887554680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 12887554680 in words is "twelve billion, eight hundred eighty-seven million, five hundred fifty-four thousand, six hundred eighty".