13254059520 has 960 divisors, whose sum is σ = 55498322880. Its totient is φ = 2887778304.

The previous prime is 13254059473. The next prime is 13254059521. The reversal of 13254059520 is 2595045231.

It is a happy number.

13254059520 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 40 + 595 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13254059521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96744892 + ... + 96745028.

It is an arithmetic number, because the mean of its divisors is an integer number (57810753).

Almost surely, 2^13254059520 is an apocalyptic number.

13254059520 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 13254059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27749161440).

13254059520 is an abundant number, since it is smaller than the sum of its proper divisors (42244263360).

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

13254059520 is a wasteful number, since it uses less digits than its factorization.

13254059520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 13254059520 in words is "thirteen billion, two hundred fifty-four million, fifty-nine thousand, five hundred twenty".