5330534400 has 384 divisors, whose sum is σ = 19665742800. Its totient is φ = 1415577600.

The previous prime is 5330534393. The next prime is 5330534449. The reversal of 5330534400 is 44350335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22118280 + ... + 22118520.

Almost surely, 2^5330534400 is an apocalyptic number.

5330534400 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 5330534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9832871400).

5330534400 is an abundant number, since it is smaller than the sum of its proper divisors (14335208400).

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

5330534400 is an equidigital number, since it uses as much as digits as its factorization.

5330534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 5330534400 is about 73010.5088326331. The cubic root of 5330534400 is about 1746.8552393057.

Adding to 5330534400 its reverse (44350335), we get a palindrome (5374884735).

The spelling of 5330534400 in words is "five billion, three hundred thirty million, five hundred thirty-four thousand, four hundred".