5225614400 has 84 divisors (see below), whose sum is σ = 13301784420. Its totient is φ = 2018150400.

The previous prime is 5225614399. The next prime is 5225614409. The reversal of 5225614400 is 44165225.

It can be written as a sum of positive squares in 6 ways, for example, as 33547264 + 5192067136 = 5792^2 + 72056^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (5225614409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9911 + ... + 102710.

Almost surely, 2^5225614400 is an apocalyptic number.

5225614400 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 5225614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650892210).

5225614400 is an abundant number, since it is smaller than the sum of its proper divisors (8076170020).

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

5225614400 is a wasteful number, since it uses less digits than its factorization.

5225614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112672 (or 112657 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 5225614400 is about 72288.4112427435. The cubic root of 5225614400 is about 1735.3181930452.

Adding to 5225614400 its reverse (44165225), we get a palindrome (5269779625).

The spelling of 5225614400 in words is "five billion, two hundred twenty-five million, six hundred fourteen thousand, four hundred".