13128986880 has 108 divisors (see below), whose sum is σ = 45424966860. Its totient is φ = 3501060096.

The previous prime is 13128986879. The next prime is 13128986881. The reversal of 13128986880 is 8868982131.

It is an interprime number because it is at equal distance from previous prime (13128986879) and next prime (13128986881).

It can be written as a sum of positive squares in 2 ways, for example, as 4600094976 + 8528891904 = 67824^2 + 92352^2 .

It is not an unprimeable number, because it can be changed into a prime (13128986881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558315 + ... + 581354.

It is an arithmetic number, because the mean of its divisors is an integer number (420601545).

Almost surely, 2^13128986880 is an apocalyptic number.

13128986880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13128986880 is an abundant number, since it is smaller than the sum of its proper divisors (32295979980).

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

13128986880 is a wasteful number, since it uses less digits than its factorization.

13128986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139696 (or 1139679 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

Subtracting from 13128986880 its product of nonzero digits (1327104), we obtain a square (13127659776 = 114576²).

The spelling of 13128986880 in words is "thirteen billion, one hundred twenty-eight million, nine hundred eighty-six thousand, eight hundred eighty".