5398369200 has 540 divisors, whose sum is σ = 22574697240. Its totient is φ = 1221696000.

The previous prime is 5398369177. The next prime is 5398369211. The reversal of 5398369200 is 29638935.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 53449150 + ... + 53449250.

Almost surely, 2^5398369200 is an apocalyptic number.

5398369200 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 5398369200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11287348620).

5398369200 is an abundant number, since it is smaller than the sum of its proper divisors (17176328040).

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

5398369200 is a wasteful number, since it uses less digits than its factorization.

5398369200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 5398369200 is about 73473.5952570718. The cubic root of 5398369200 is about 1754.2340144745.

The spelling of 5398369200 in words is "five billion, three hundred ninety-eight million, three hundred sixty-nine thousand, two hundred".