5194598400 has 216 divisors, whose sum is σ = 18605313090. Its totient is φ = 1385103360.

The previous prime is 5194598377. The next prime is 5194598401. The reversal of 5194598400 is 48954915.

5194598400 is a `hidden beast` number, since 5 + 19 + 4 + 598 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3218973696 + 1975624704 = 56736^2 + 44448^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5194598401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 455164 + ... + 466436.

Almost surely, 2^5194598400 is an apocalyptic number.

5194598400 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 5194598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302656545).

5194598400 is an abundant number, since it is smaller than the sum of its proper divisors (13410714690).

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

5194598400 is a wasteful number, since it uses less digits than its factorization.

5194598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11311 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5194598400 is about 72073.5624206269. The cubic root of 5194598400 is about 1731.8781211629.

The spelling of 5194598400 in words is "five billion, one hundred ninety-four million, five hundred ninety-eight thousand, four hundred".