13232257920 has 576 divisors, whose sum is σ = 53657173440. Its totient is φ = 2995937280.

The previous prime is 13232257873. The next prime is 13232257931. The reversal of 13232257920 is 2975223231.

It is a happy number.

13232257920 is a `hidden beast` number, since 1 + 32 + 32 + 2 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×13232257920² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 48827385 + ... + 48827655.

It is an arithmetic number, because the mean of its divisors is an integer number (93154815).

Almost surely, 2^13232257920 is an apocalyptic number.

13232257920 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 13232257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26828586720).

13232257920 is an abundant number, since it is smaller than the sum of its proper divisors (40424915520).

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

13232257920 is a wasteful number, since it uses less digits than its factorization.

13232257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13232257920 in words is "thirteen billion, two hundred thirty-two million, two hundred fifty-seven thousand, nine hundred twenty".