5133823200 has 1152 divisors, whose sum is σ = 22678548480. Its totient is φ = 1105920000.

The previous prime is 5133823193. The next prime is 5133823249. The reversal of 5133823200 is 23283315.

5133823200 is a `hidden beast` number, since 5 + 1 + 338 + 2 + 320 + 0 = 666.

It is a super-2 number, since 2×5133823200² = 52712281297716480000, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 125215180 + ... + 125215220.

It is an arithmetic number, because the mean of its divisors is an integer number (19686240).

Almost surely, 2^5133823200 is an apocalyptic number.

5133823200 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 5133823200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11339274240).

5133823200 is an abundant number, since it is smaller than the sum of its proper divisors (17544725280).

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

5133823200 is a wasteful number, since it uses less digits than its factorization.

5133823200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 110 counting only the distinct ones).

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

The square root of 5133823200 is about 71650.7027181171. The cubic root of 5133823200 is about 1725.0974614121.

The spelling of 5133823200 in words is "five billion, one hundred thirty-three million, eight hundred twenty-three thousand, two hundred".