13268617776 has 400 divisors, whose sum is σ = 44318815200. Its totient is φ = 3804143616.

The previous prime is 13268617763. The next prime is 13268617781. The reversal of 13268617776 is 67771686231.

13268617776 is a `hidden beast` number, since 1 + 326 + 86 + 177 + 76 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12139086 + ... + 12140178.

It is an arithmetic number, because the mean of its divisors is an integer number (110797038).

Almost surely, 2^13268617776 is an apocalyptic number.

13268617776 is a gapful number since it is divisible by the number (16) 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 13268617776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22159407600).

13268617776 is an abundant number, since it is smaller than the sum of its proper divisors (31050197424).

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

13268617776 is a wasteful number, since it uses less digits than its factorization.

13268617776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1163 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 13268617776 in words is "thirteen billion, two hundred sixty-eight million, six hundred seventeen thousand, seven hundred seventy-six".