5525289716400 has 720 divisors, whose sum is σ = 19996875475200. Its totient is φ = 1411089039360.

The previous prime is 5525289716399. The next prime is 5525289716407. The reversal of 5525289716400 is 46179825255.

5525289716400 is a `hidden beast` number, since 5 + 5 + 2 + 528 + 9 + 71 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (5525289716407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11535051361 + ... + 11535051839.

It is an arithmetic number, because the mean of its divisors is an integer number (27773438160).

Almost surely, 2^{5525289716400} is an apocalyptic number.

5525289716400 is a gapful number since it is divisible by the number (50) 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 5525289716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998437737600).

5525289716400 is an abundant number, since it is smaller than the sum of its proper divisors (14471585758800).

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

5525289716400 is a wasteful number, since it uses less digits than its factorization.

5525289716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 5525289716400 in words is "five trillion, five hundred twenty-five billion, two hundred eighty-nine million, seven hundred sixteen thousand, four hundred".