13520165624 has 64 divisors (see below), whose sum is σ = 30288867840. Its totient is φ = 5531898240.

The previous prime is 13520165621. The next prime is 13520165641. The reversal of 13520165624 is 42656102531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13520165621) 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, 687107 + ... + 706509.

It is an arithmetic number, because the mean of its divisors is an integer number (473263560).

Almost surely, 2^13520165624 is an apocalyptic number.

13520165624 is a gapful number since it is divisible by the number (14) 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 13520165624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144433920).

13520165624 is an abundant number, since it is smaller than the sum of its proper divisors (16768702216).

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

13520165624 is a wasteful number, since it uses less digits than its factorization.

13520165624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19980 (or 19976 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 13520165624 in words is "thirteen billion, five hundred twenty million, one hundred sixty-five thousand, six hundred twenty-four".