5058812400 has 480 divisors, whose sum is σ = 18023132160. Its totient is φ = 1207664640.

The previous prime is 5058812393. The next prime is 5058812413. The reversal of 5058812400 is 42188505.

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 95 ways as a sum of consecutive naturals, for example, 64035561 + ... + 64035639.

It is an arithmetic number, because the mean of its divisors is an integer number (37548192).

Almost surely, 2^5058812400 is an apocalyptic number.

5058812400 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 5058812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9011566080).

5058812400 is an abundant number, since it is smaller than the sum of its proper divisors (12964319760).

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

5058812400 is a wasteful number, since it uses less digits than its factorization.

5058812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 5058812400 is about 71125.3288217355. The cubic root of 5058812400 is about 1716.6543491539.

The spelling of 5058812400 in words is "five billion, fifty-eight million, eight hundred twelve thousand, four hundred".