5525150400 has 1008 divisors, whose sum is σ = 25468925440. Its totient is φ = 1140480000.

The previous prime is 5525150387. The next prime is 5525150401. The reversal of 5525150400 is 40515255.

5525150400 is a `hidden beast` number, since 5 + 5 + 251 + 5 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5525150401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36590325 + ... + 36590475.

Almost surely, 2^5525150400 is an apocalyptic number.

5525150400 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 5525150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12734462720).

5525150400 is an abundant number, since it is smaller than the sum of its proper divisors (19943775040).

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

5525150400 is a wasteful number, since it uses less digits than its factorization.

5525150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 5525150400 is about 74331.3554295897. The cubic root of 5525150400 is about 1767.8606730088.

Adding to 5525150400 its reverse (40515255), we get a palindrome (5565665655).

The spelling of 5525150400 in words is "five billion, five hundred twenty-five million, one hundred fifty thousand, four hundred".