13550252130400 has 144 divisors (see below), whose sum is σ = 33889875284160. Its totient is φ = 5287356518400.

The previous prime is 13550252130397. The next prime is 13550252130439. The reversal of 13550252130400 is 403125205531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485327641 + ... + 485355559.

It is an arithmetic number, because the mean of its divisors is an integer number (235346356140).

Almost surely, 2^{13550252130400} is an apocalyptic number.

13550252130400 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 13550252130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16944937642080).

13550252130400 is an abundant number, since it is smaller than the sum of its proper divisors (20339623153760).

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

13550252130400 is a wasteful number, since it uses less digits than its factorization.

13550252130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42777 (or 42764 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 13550252130400 its reverse (403125205531), we get a palindrome (13953377335931).

The spelling of 13550252130400 in words is "thirteen trillion, five hundred fifty billion, two hundred fifty-two million, one hundred thirty thousand, four hundred".