13748571520 has 128 divisors (see below), whose sum is σ = 33768887040. Its totient is φ = 5350692864.

The previous prime is 13748571509. The next prime is 13748571521. The reversal of 13748571520 is 2517584731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13748571520² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13748571521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3557109 + ... + 3560971.

It is an arithmetic number, because the mean of its divisors is an integer number (263819430).

Almost surely, 2^13748571520 is an apocalyptic number.

13748571520 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 13748571520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16884443520).

13748571520 is an abundant number, since it is smaller than the sum of its proper divisors (20020315520).

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

13748571520 is an equidigital number, since it uses as much as digits as its factorization.

13748571520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 13748571520 in words is "thirteen billion, seven hundred forty-eight million, five hundred seventy-one thousand, five hundred twenty".