13522333440 has 1152 divisors, whose sum is σ = 59338137600. Its totient is φ = 2539192320.

The previous prime is 13522333381. The next prime is 13522333441. The reversal of 13522333440 is 4433322531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13522333398 and 13522333407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13522333441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162919639 + ... + 162919721.

It is an arithmetic number, because the mean of its divisors is an integer number (51508800).

Almost surely, 2^13522333440 is an apocalyptic number.

13522333440 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 13522333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29669068800).

13522333440 is an abundant number, since it is smaller than the sum of its proper divisors (45815804160).

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

13522333440 is a wasteful number, since it uses less digits than its factorization.

13522333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 13522333440 its reverse (4433322531), we get a palindrome (17955655971).

The spelling of 13522333440 in words is "thirteen billion, five hundred twenty-two million, three hundred thirty-three thousand, four hundred forty".