5253422400 has 168 divisors, whose sum is σ = 19150827840. Its totient is φ = 1400901120.

The previous prime is 5253422371. The next prime is 5253422401. The reversal of 5253422400 is 42243525.

It is a happy number.

5253422400 is a `hidden beast` number, since 5 + 253 + 4 + 2 + 2 + 400 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (5253422401) 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 23 ways as a sum of consecutive naturals, for example, 17604 + ... + 104003.

Almost surely, 2^5253422400 is an apocalyptic number.

5253422400 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 5253422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575413920).

5253422400 is an abundant number, since it is smaller than the sum of its proper divisors (13897405440).

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

5253422400 is a wasteful number, since it uses less digits than its factorization.

5253422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121638 (or 121617 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 5253422400 is about 72480.4966870399. The cubic root of 5253422400 is about 1738.3909024275.

Adding to 5253422400 its reverse (42243525), we get a palindrome (5295665925).

The spelling of 5253422400 in words is "five billion, two hundred fifty-three million, four hundred twenty-two thousand, four hundred".