5055310400 has 252 divisors, whose sum is σ = 15325339428. Its totient is φ = 1630863360.

The previous prime is 5055310391. The next prime is 5055310433. The reversal of 5055310400 is 40135505.

It can be written as a sum of positive squares in 6 ways, for example, as 139617856 + 4915692544 = 11816^2 + 70112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1330904 + ... + 1334696.

It is an arithmetic number, because the mean of its divisors is an integer number (60814839).

Almost surely, 2^5055310400 is an apocalyptic number.

5055310400 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 5055310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7662669714).

5055310400 is an abundant number, since it is smaller than the sum of its proper divisors (10270029028).

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

5055310400 is a wasteful number, since it uses less digits than its factorization.

5055310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 5055310400 is about 71100.7060443144. The cubic root of 5055310400 is about 1716.2581355232.

Adding to 5055310400 its reverse (40135505), we get a palindrome (5095445905).

The spelling of 5055310400 in words is "five billion, fifty-five million, three hundred ten thousand, four hundred".