13225743360 has 264 divisors, whose sum is σ = 47823160320. Its totient is φ = 3373252608.

The previous prime is 13225743343. The next prime is 13225743371. The reversal of 13225743360 is 6334752231.

13225743360 is a `hidden beast` number, since 1 + 3 + 2 + 257 + 43 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053601 + ... + 1066079.

Almost surely, 2^13225743360 is an apocalyptic number.

13225743360 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 13225743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23911580160).

13225743360 is an abundant number, since it is smaller than the sum of its proper divisors (34597416960).

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

13225743360 is a wasteful number, since it uses less digits than its factorization.

13225743360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12533 (or 12512 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 13225743360 in words is "thirteen billion, two hundred twenty-five million, seven hundred forty-three thousand, three hundred sixty".