13225512960 has 468 divisors, whose sum is σ = 50474219796. Its totient is φ = 3200778240.

The previous prime is 13225512931. The next prime is 13225512961. The reversal of 13225512960 is 6921552231.

It is a happy number.

13225512960 is a `hidden beast` number, since 1 + 3 + 22 + 551 + 29 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6441025536 + 6784487424 = 80256^2 + 82368^2 .

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 (13225512961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22302424 + ... + 22303016.

It is an arithmetic number, because the mean of its divisors is an integer number (107850897).

Almost surely, 2^13225512960 is an apocalyptic number.

13225512960 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 13225512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25237109898).

13225512960 is an abundant number, since it is smaller than the sum of its proper divisors (37248706836).

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

13225512960 is a wasteful number, since it uses less digits than its factorization.

13225512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13225512960 in words is "thirteen billion, two hundred twenty-five million, five hundred twelve thousand, nine hundred sixty".