13172271840 has 1344 divisors, whose sum is σ = 61635966336. Its totient is φ = 2579890176.

The previous prime is 13172271817. The next prime is 13172271851. The reversal of 13172271840 is 4817227131.

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

It is a junction number, because it is equal to n+sod(n) for n = 13172271795 and 13172271804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 180442044 + ... + 180442116.

It is an arithmetic number, because the mean of its divisors is an integer number (45860094).

Almost surely, 2^13172271840 is an apocalyptic number.

13172271840 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 13172271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30817983168).

13172271840 is an abundant number, since it is smaller than the sum of its proper divisors (48463694496).

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

13172271840 is a wasteful number, since it uses less digits than its factorization.

13172271840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 13172271840 its reverse (4817227131), we get a palindrome (17989498971).

The spelling of 13172271840 in words is "thirteen billion, one hundred seventy-two million, two hundred seventy-one thousand, eight hundred forty".