5398192800 has 1296 divisors, whose sum is σ = 26257506912. Its totient is φ = 1025740800.

The previous prime is 5398192777. The next prime is 5398192819. The reversal of 5398192800 is 82918935.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 50450347 + ... + 50450453.

It is an arithmetic number, because the mean of its divisors is an integer number (20260422).

Almost surely, 2^5398192800 is an apocalyptic number.

5398192800 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 5398192800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13128753456).

5398192800 is an abundant number, since it is smaller than the sum of its proper divisors (20859314112).

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

5398192800 is a wasteful number, since it uses less digits than its factorization.

5398192800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 5398192800 is about 73472.3948160124. The cubic root of 5398192800 is about 1754.2149068367.

The spelling of 5398192800 in words is "five billion, three hundred ninety-eight million, one hundred ninety-two thousand, eight hundred".