5355312400 has 45 divisors (see below), whose sum is σ = 12869655301. Its totient is φ = 2141539520.

The previous prime is 5355312379. The next prime is 5355312467. The reversal of 5355312400 is 42135535.

The square root of 5355312400 is 73180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1927912464 + 3427399936 = 43908^2 + 58544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1461771 + ... + 1465429.

Almost surely, 2^5355312400 is an apocalyptic number.

5355312400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5355312400 is the 73180-th square number.

It is an amenable number.

5355312400 is an abundant number, since it is smaller than the sum of its proper divisors (7514342901).

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

5355312400 is an frugal number, since it uses more digits than its factorization.

5355312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7336 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The cubic root of 5355312400 is about 1749.5577004664.

Adding to 5355312400 its reverse (42135535), we get a palindrome (5397447935).

The spelling of 5355312400 in words is "five billion, three hundred fifty-five million, three hundred twelve thousand, four hundred".