13268174220 has 576 divisors, whose sum is σ = 51473350656. Its totient is φ = 2802159360.

The previous prime is 13268174207. The next prime is 13268174239. The reversal of 13268174220 is 2247186231.

It is a happy number.

13268174220 is a `hidden beast` number, since 1 + 3 + 268 + 174 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24255987 + ... + 24256533.

It is an arithmetic number, because the mean of its divisors is an integer number (89363456).

Almost surely, 2^13268174220 is an apocalyptic number.

13268174220 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 13268174220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25736675328).

13268174220 is an abundant number, since it is smaller than the sum of its proper divisors (38205176436).

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

13268174220 is a wasteful number, since it uses less digits than its factorization.

13268174220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13268174220 in words is "thirteen billion, two hundred sixty-eight million, one hundred seventy-four thousand, two hundred twenty".