13721576256 has 392 divisors, whose sum is σ = 44908134720. Its totient is φ = 4138573824.

The previous prime is 13721576243. The next prime is 13721576293. The reversal of 13721576256 is 65267512731.

It is a happy number.

13721576256 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 15 + 7 + 625 + 6 = 666.

Its product of digits (529200) is a multiple of the sum of its prime divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20388336 + ... + 20389008.

Almost surely, 2^13721576256 is an apocalyptic number.

13721576256 is a gapful number since it is divisible by the number (16) 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 13721576256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22454067360).

13721576256 is an abundant number, since it is smaller than the sum of its proper divisors (31186558464).

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

13721576256 is an equidigital number, since it uses as much as digits as its factorization.

13721576256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 720 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The spelling of 13721576256 in words is "thirteen billion, seven hundred twenty-one million, five hundred seventy-six thousand, two hundred fifty-six".