12871552320 has 224 divisors, whose sum is σ = 49536339840. Its totient is φ = 3120353280.

The previous prime is 12871552319. The next prime is 12871552339. The reversal of 12871552320 is 2325517821.

12871552320 is a `hidden beast` number, since 1 + 2 + 8 + 71 + 552 + 32 + 0 = 666.

12871552320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27324 + ... + 162756.

Almost surely, 2^12871552320 is an apocalyptic number.

12871552320 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 12871552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24768169920).

12871552320 is an abundant number, since it is smaller than the sum of its proper divisors (36664787520).

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

12871552320 is a wasteful number, since it uses less digits than its factorization.

12871552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135470 (or 135454 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12871552320 in words is "twelve billion, eight hundred seventy-one million, five hundred fifty-two thousand, three hundred twenty".