5321534400 has 1008 divisors, whose sum is σ = 24213116928. Its totient is φ = 1078272000.

The previous prime is 5321534389. The next prime is 5321534411. The reversal of 5321534400 is 44351235.

5321534400 is a `hidden beast` number, since 5 + 3 + 215 + 3 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5321534389) and next prime (5321534411).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40622335 + ... + 40622465.

Almost surely, 2^5321534400 is an apocalyptic number.

5321534400 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 5321534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12106558464).

5321534400 is an abundant number, since it is smaller than the sum of its proper divisors (18891582528).

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

5321534400 is a wasteful number, since it uses less digits than its factorization.

5321534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5321534400 is about 72948.8478318883. The cubic root of 5321534400 is about 1745.8715634751.

Adding to 5321534400 its reverse (44351235), we get a palindrome (5365885635).

The spelling of 5321534400 in words is "five billion, three hundred twenty-one million, five hundred thirty-four thousand, four hundred".