13278172320 has 768 divisors, whose sum is σ = 58734305280. Its totient is φ = 2729852928.

The previous prime is 13278172273. The next prime is 13278172331. The reversal of 13278172320 is 2327187231.

13278172320 is a `hidden beast` number, since 1 + 327 + 8 + 1 + 7 + 2 + 320 = 666.

It is a super-3 number, since 3×13278172320³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 127 ways as a sum of consecutive naturals, for example, 11823279 + ... + 11824401.

It is an arithmetic number, because the mean of its divisors is an integer number (76476960).

Almost surely, 2^13278172320 is an apocalyptic number.

13278172320 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 13278172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29367152640).

13278172320 is an abundant number, since it is smaller than the sum of its proper divisors (45456132960).

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

13278172320 is a wasteful number, since it uses less digits than its factorization.

13278172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13278172320 in words is "thirteen billion, two hundred seventy-eight million, one hundred seventy-two thousand, three hundred twenty".