5758958400 has 336 divisors, whose sum is σ = 20853123648. Its totient is φ = 1382400000.

The previous prime is 5758958389. The next prime is 5758958407. The reversal of 5758958400 is 48598575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5758958407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2557275 + ... + 2559525.

It is an arithmetic number, because the mean of its divisors is an integer number (62062868).

Almost surely, 2^5758958400 is an apocalyptic number.

5758958400 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 5758958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426561824).

5758958400 is an abundant number, since it is smaller than the sum of its proper divisors (15094165248).

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

5758958400 is a wasteful number, since it uses less digits than its factorization.

5758958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 51.

The square root of 5758958400 is about 75887.8013912645. The cubic root of 5758958400 is about 1792.4538404613.

The spelling of 5758958400 in words is "five billion, seven hundred fifty-eight million, nine hundred fifty-eight thousand, four hundred".