13259577960 has 256 divisors, whose sum is σ = 45621273600. Its totient is φ = 3423707136.

The previous prime is 13259577953. The next prime is 13259577973. The reversal of 13259577960 is 6977595231.

13259577960 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 9 + 577 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13259577897 and 13259577906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4922374 + ... + 4925066.

It is an arithmetic number, because the mean of its divisors is an integer number (178208100).

Almost surely, 2^13259577960 is an apocalyptic number.

13259577960 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 13259577960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22810636800).

13259577960 is an abundant number, since it is smaller than the sum of its proper divisors (32361695640).

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

13259577960 is a wasteful number, since it uses less digits than its factorization.

13259577960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 13259577960 in words is "thirteen billion, two hundred fifty-nine million, five hundred seventy-seven thousand, nine hundred sixty".