13882777272 has 320 divisors, whose sum is σ = 50380915200. Its totient is φ = 3468407040.

The previous prime is 13882777241. The next prime is 13882777297. The reversal of 13882777272 is 27277728831.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1114197 + ... + 1126587.

It is an arithmetic number, because the mean of its divisors is an integer number (157440360).

Almost surely, 2^13882777272 is an apocalyptic number.

13882777272 is a gapful number since it is divisible by the number (12) 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 13882777272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25190457600).

13882777272 is an abundant number, since it is smaller than the sum of its proper divisors (36498137928).

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

13882777272 is a wasteful number, since it uses less digits than its factorization.

13882777272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12448 (or 12435 counting only the distinct ones).

The product of its digits is 3687936, while the sum is 54.

The spelling of 13882777272 in words is "thirteen billion, eight hundred eighty-two million, seven hundred seventy-seven thousand, two hundred seventy-two".