13554050400 has 432 divisors, whose sum is σ = 53140192560. Its totient is φ = 3222835200.

The previous prime is 13554050399. The next prime is 13554050401. The reversal of 13554050400 is 405045531.

13554050400 is a `hidden beast` number, since 1 + 35 + 540 + 50 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13554050399) and next prime (13554050401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13554050401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4195986 + ... + 4199214.

It is an arithmetic number, because the mean of its divisors is an integer number (123009705).

Almost surely, 2^13554050400 is an apocalyptic number.

13554050400 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 13554050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26570096280).

13554050400 is an abundant number, since it is smaller than the sum of its proper divisors (39586142160).

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

13554050400 is a wasteful number, since it uses less digits than its factorization.

13554050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 13554050400 its reverse (405045531), we get a palindrome (13959095931).

The spelling of 13554050400 in words is "thirteen billion, five hundred fifty-four million, fifty thousand, four hundred".