13553452000 has 288 divisors, whose sum is σ = 37551058272. Its totient is φ = 4801280000.

The previous prime is 13553451917. The next prime is 13553452009. The reversal of 13553452000 is 25435531.

13553452000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13553452000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13553452000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13553452009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19843659 + ... + 19844341.

It is an arithmetic number, because the mean of its divisors is an integer number (130385619).

Almost surely, 2^13553452000 is an apocalyptic number.

13553452000 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 13553452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775529136).

13553452000 is an abundant number, since it is smaller than the sum of its proper divisors (23997606272).

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

13553452000 is a wasteful number, since it uses less digits than its factorization.

13553452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

Adding to 13553452000 its reverse (25435531), we get a palindrome (13578887531).

The spelling of 13553452000 in words is "thirteen billion, five hundred fifty-three million, four hundred fifty-two thousand".