5221278400 has 168 divisors, whose sum is σ = 13925452464. Its totient is φ = 1915392000.

The previous prime is 5221278341. The next prime is 5221278431. The reversal of 5221278400 is 48721225.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3597675 + ... + 3599125.

It is an arithmetic number, because the mean of its divisors is an integer number (82889598).

Almost surely, 2^5221278400 is an apocalyptic number.

5221278400 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 5221278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962726232).

5221278400 is an abundant number, since it is smaller than the sum of its proper divisors (8704174064).

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

5221278400 is a wasteful number, since it uses less digits than its factorization.

5221278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 5221278400 is about 72258.4140429334. The cubic root of 5221278400 is about 1734.8380950000.

Adding to 5221278400 its reverse (48721225), we get a palindrome (5269999625).

The spelling of 5221278400 in words is "five billion, two hundred twenty-one million, two hundred seventy-eight thousand, four hundred".