5329394400 has 576 divisors, whose sum is σ = 20194707456. Its totient is φ = 1208064000.

The previous prime is 5329394363. The next prime is 5329394401. The reversal of 5329394400 is 44939235.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5329394401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40682335 + ... + 40682465.

It is an arithmetic number, because the mean of its divisors is an integer number (35060256).

Almost surely, 2^5329394400 is an apocalyptic number.

5329394400 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 5329394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10097353728).

5329394400 is an abundant number, since it is smaller than the sum of its proper divisors (14865313056).

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

5329394400 is a wasteful number, since it uses less digits than its factorization.

5329394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 5329394400 is about 73002.7013198827. The cubic root of 5329394400 is about 1746.7307016388.

The spelling of 5329394400 in words is "five billion, three hundred twenty-nine million, three hundred ninety-four thousand, four hundred".