13871554560 has 560 divisors, whose sum is σ = 51525059256. Its totient is φ = 3567255552.

The previous prime is 13871554511. The next prime is 13871554589. The reversal of 13871554560 is 6545517831.

13871554560 is a `hidden beast` number, since 1 + 3 + 87 + 1 + 5 + 5 + 4 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9929723904 + 3941830656 = 99648^2 + 62784^2 .

It is a super-2 number, since 2×13871554560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 122757064 + ... + 122757176.

Almost surely, 2^13871554560 is an apocalyptic number.

13871554560 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 13871554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25762529628).

13871554560 is an abundant number, since it is smaller than the sum of its proper divisors (37653504696).

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

13871554560 is an equidigital number, since it uses as much as digits as its factorization.

13871554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 13871554560 in words is "thirteen billion, eight hundred seventy-one million, five hundred fifty-four thousand, five hundred sixty".