5384253600 has 1152 divisors, whose sum is σ = 23758479360. Its totient is φ = 1161216000.

The previous prime is 5384253551. The next prime is 5384253601. The reversal of 5384253600 is 63524835.

It is a happy number.

5384253600 is a `hidden beast` number, since 5 + 3 + 8 + 42 + 5 + 3 + 600 = 666.

It is a super-2 number, since 2×5384253600² = 57980373658225920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5384253601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125215179 + ... + 125215221.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 2^5384253600 is an apocalyptic number.

5384253600 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 5384253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879239680).

5384253600 is an abundant number, since it is smaller than the sum of its proper divisors (18374225760).

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

5384253600 is a wasteful number, since it uses less digits than its factorization.

5384253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5384253600 is about 73377.4733825034. The cubic root of 5384253600 is about 1752.7036955532.

The spelling of 5384253600 in words is "five billion, three hundred eighty-four million, two hundred fifty-three thousand, six hundred".