13550134400 has 192 divisors, whose sum is σ = 36653904000. Its totient is φ = 4908748800.

The previous prime is 13550134391. The next prime is 13550134489. The reversal of 13550134400 is 443105531.

It is a super-2 number, since 2×13550134400² (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 13550134400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12284249 + ... + 12285351.

It is an arithmetic number, because the mean of its divisors is an integer number (190905750).

Almost surely, 2^13550134400 is an apocalyptic number.

13550134400 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 13550134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18326952000).

13550134400 is an abundant number, since it is smaller than the sum of its proper divisors (23103769600).

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

13550134400 is a wasteful number, since it uses less digits than its factorization.

13550134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 13550134400 its reverse (443105531), we get a palindrome (13993239931).

The spelling of 13550134400 in words is "thirteen billion, five hundred fifty million, one hundred thirty-four thousand, four hundred".