5058054400 has 243 divisors, whose sum is σ = 14679046809. Its totient is φ = 1720535040.

The previous prime is 5058054377. The next prime is 5058054403. The reversal of 5058054400 is 44508505.

The square root of 5058054400 is 71120.

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., 1820899584 + 3237154816 = 42672^2 + 56896^2 .

It is not an unprimeable number, because it can be changed into a prime (5058054403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39827137 + ... + 39827263.

Almost surely, 2^5058054400 is an apocalyptic number.

5058054400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5058054400 is the 71120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5058054400

5058054400 is an abundant number, since it is smaller than the sum of its proper divisors (9620992409).

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

5058054400 is an equidigital number, since it uses as much as digits as its factorization.

5058054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The cubic root of 5058054400 is about 1716.5686051169.

The spelling of 5058054400 in words is "five billion, fifty-eight million, fifty-four thousand, four hundred".