5058362400 has 1152 divisors, whose sum is σ = 22678548480. Its totient is φ = 948879360.

The previous prime is 5058362363. The next prime is 5058362431. The reversal of 5058362400 is 42638505.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95440774 + ... + 95440826.

It is an arithmetic number, because the mean of its divisors is an integer number (19686240).

Almost surely, 2^5058362400 is an apocalyptic number.

5058362400 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 5058362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11339274240).

5058362400 is an abundant number, since it is smaller than the sum of its proper divisors (17620186080).

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

5058362400 is a wasteful number, since it uses less digits than its factorization.

5058362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 5058362400 is about 71122.1653213680. The cubic root of 5058362400 is about 1716.6034467350.

The spelling of 5058362400 in words is "five billion, fifty-eight million, three hundred sixty-two thousand, four hundred".