13872909211960 has 128 divisors (see below), whose sum is σ = 32063511744000. Its totient is φ = 5400137673216.

The previous prime is 13872909211921. The next prime is 13872909212017. The reversal of 13872909211960 is 6911290927831.

It is a super-2 number, since 2×13872909211960² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13872909211895 and 13872909211904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288856509 + ... + 288904531.

It is an arithmetic number, because the mean of its divisors is an integer number (250496185500).

Almost surely, 2^{13872909211960} is an apocalyptic number.

13872909211960 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 13872909211960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031755872000).

13872909211960 is an abundant number, since it is smaller than the sum of its proper divisors (18190602532040).

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

13872909211960 is a wasteful number, since it uses less digits than its factorization.

13872909211960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49325 (or 49321 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 58.

The spelling of 13872909211960 in words is "thirteen trillion, eight hundred seventy-two billion, nine hundred nine million, two hundred eleven thousand, nine hundred sixty".