5398099200 has 756 divisors, whose sum is σ = 21815908380. Its totient is φ = 1313832960.

The previous prime is 5398099193. The next prime is 5398099207. The reversal of 5398099200 is 29908935.

5398099200 is a `hidden beast` number, since 539 + 8 + 0 + 99 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5398099193) and next prime (5398099207).

It can be written as a sum of positive squares in 6 ways, for example, as 1254859776 + 4143239424 = 35424^2 + 64368^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5398099207) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 60652756 + ... + 60652844.

Almost surely, 2^5398099200 is an apocalyptic number.

5398099200 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 5398099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10907954190).

5398099200 is an abundant number, since it is smaller than the sum of its proper divisors (16417809180).

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

5398099200 is an equidigital number, since it uses as much as digits as its factorization.

5398099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 5398099200 is about 73471.7578393222. The cubic root of 5398099200 is about 1754.2047679211.

The spelling of 5398099200 in words is "five billion, three hundred ninety-eight million, ninety-nine thousand, two hundred".