13254744960 has 256 divisors, whose sum is σ = 49706395200. Its totient is φ = 3326607360.

The previous prime is 13254744941. The next prime is 13254744967. The reversal of 13254744960 is 6944745231.

13254744960 is a `hidden beast` number, since 1 + 3 + 2 + 547 + 4 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13254744967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271200 + ... + 316320.

Almost surely, 2^13254744960 is an apocalyptic number.

13254744960 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 13254744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24853197600).

13254744960 is an abundant number, since it is smaller than the sum of its proper divisors (36451650240).

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

13254744960 is a wasteful number, since it uses less digits than its factorization.

13254744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45166 (or 45148 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13254744960 in words is "thirteen billion, two hundred fifty-four million, seven hundred forty-four thousand, nine hundred sixty".