13721589043152 has 320 divisors, whose sum is σ = 39999289881600. Its totient is φ = 4027761745920.

The previous prime is 13721589043091. The next prime is 13721589043163. The reversal of 13721589043152 is 25134098512731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 13721589043095 and 13721589043104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 549092674 + ... + 549117662.

It is an arithmetic number, because the mean of its divisors is an integer number (124997780880).

Almost surely, 2^{13721589043152} is an apocalyptic number.

13721589043152 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 13721589043152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19999644940800).

13721589043152 is an abundant number, since it is smaller than the sum of its proper divisors (26277700838448).

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

13721589043152 is a wasteful number, since it uses less digits than its factorization.

13721589043152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25474 (or 25468 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 13721589043152 in words is "thirteen trillion, seven hundred twenty-one billion, five hundred eighty-nine million, forty-three thousand, one hundred fifty-two".