13279759488 has 192 divisors, whose sum is σ = 40554914400. Its totient is φ = 4323207168.

The previous prime is 13279759453. The next prime is 13279759501. The reversal of 13279759488 is 88495797231.

13279759488 is a `hidden beast` number, since 1 + 32 + 7 + 9 + 7 + 594 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332508 + ... + 1342436.

Almost surely, 2^13279759488 is an apocalyptic number.

13279759488 is a gapful number since it is divisible by the number (18) 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 13279759488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20277457200).

13279759488 is an abundant number, since it is smaller than the sum of its proper divisors (27275154912).

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

13279759488 is an frugal number, since it uses more digits than its factorization.

13279759488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001 (or 9977 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 13279759488 in words is "thirteen billion, two hundred seventy-nine million, seven hundred fifty-nine thousand, four hundred eighty-eight".