5329864800 has 1008 divisors, whose sum is σ = 22712452560. Its totient is φ = 1209323520.

The previous prime is 5329864721. The next prime is 5329864801. The reversal of 5329864800 is 84689235.

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 (5329864801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 144050382 + ... + 144050418.

It is an arithmetic number, because the mean of its divisors is an integer number (22532195).

It is a vampire number, since it can be written as 64935 ⋅ 82080 (with its own digits).

Almost surely, 2^5329864800 is an apocalyptic number.

5329864800 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 5329864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11356226280).

5329864800 is an abundant number, since it is smaller than the sum of its proper divisors (17382587760).

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

5329864800 is a wasteful number, since it uses less digits than its factorization.

5329864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5329864800 is about 73005.9230473802. The cubic root of 5329864800 is about 1746.7820919649.

The spelling of 5329864800 in words is "five billion, three hundred twenty-nine million, eight hundred sixty-four thousand, eight hundred".