5383130400 has 216 divisors, whose sum is σ = 19686021264. Its totient is φ = 1435449600.

The previous prime is 5383130351. The next prime is 5383130413. The reversal of 5383130400 is 40313835.

It is a happy number.

5383130400 is a `hidden beast` number, since 53 + 83 + 130 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 180555 + ... + 208245.

Almost surely, 2^5383130400 is an apocalyptic number.

5383130400 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 5383130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843010632).

5383130400 is an abundant number, since it is smaller than the sum of its proper divisors (14302890864).

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

5383130400 is a wasteful number, since it uses less digits than its factorization.

5383130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27726 (or 27701 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5383130400 is about 73369.8194082553. The cubic root of 5383130400 is about 1752.5818108970.

The spelling of 5383130400 in words is "five billion, three hundred eighty-three million, one hundred thirty thousand, four hundred".