5215522400 has 288 divisors, whose sum is σ = 14579066880. Its totient is φ = 1804544000.

The previous prime is 5215522393. The next prime is 5215522447. The reversal of 5215522400 is 42255125.

It is a self number, because there is not a number n which added to its sum of digits gives 5215522400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27306305 + ... + 27306495.

It is an arithmetic number, because the mean of its divisors is an integer number (50621760).

Almost surely, 2^5215522400 is an apocalyptic number.

5215522400 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 5215522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7289533440).

5215522400 is an abundant number, since it is smaller than the sum of its proper divisors (9363544480).

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

5215522400 is a wasteful number, since it uses less digits than its factorization.

5215522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 5215522400 is about 72218.5737881883. The cubic root of 5215522400 is about 1734.2003584777.

Adding to 5215522400 its reverse (42255125), we get a palindrome (5257777525).

The spelling of 5215522400 in words is "five billion, two hundred fifteen million, five hundred twenty-two thousand, four hundred".