5898578400 has 864 divisors, whose sum is σ = 25950401568. Its totient is φ = 1238630400.

The previous prime is 5898578377. The next prime is 5898578489. The reversal of 5898578400 is 48758985.

5898578400 is a `hidden beast` number, since 589 + 8 + 57 + 8 + 4 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 17503032 + ... + 17503368.

It is an arithmetic number, because the mean of its divisors is an integer number (30035187).

Almost surely, 2^5898578400 is an apocalyptic number.

5898578400 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 5898578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12975200784).

5898578400 is an abundant number, since it is smaller than the sum of its proper divisors (20051823168).

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

5898578400 is a wasteful number, since it uses less digits than its factorization.

5898578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 5898578400 is about 76802.2030934009. The cubic root of 5898578400 is about 1806.8237284575.

The spelling of 5898578400 in words is "five billion, eight hundred ninety-eight million, five hundred seventy-eight thousand, four hundred".