5525413817400 has 480 divisors, whose sum is σ = 20974936625280. Its totient is φ = 1342033920000.

The previous prime is 5525413817351. The next prime is 5525413817401. The reversal of 5525413817400 is 47183145255.

5525413817400 is a `hidden beast` number, since 5 + 5 + 2 + 541 + 38 + 1 + 74 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5525413817401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8213800 + ... + 8861000.

It is an arithmetic number, because the mean of its divisors is an integer number (43697784636).

Almost surely, 2^{5525413817400} is an apocalyptic number.

5525413817400 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 5525413817400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10487468312640).

5525413817400 is an abundant number, since it is smaller than the sum of its proper divisors (15449522807880).

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

5525413817400 is a wasteful number, since it uses less digits than its factorization.

5525413817400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647277 (or 647259 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 5525413817400 in words is "five trillion, five hundred twenty-five billion, four hundred thirteen million, eight hundred seventeen thousand, four hundred".