5255034400 has 288 divisors, whose sum is σ = 16330204800. Its totient is φ = 1636992000.

The previous prime is 5255034391. The next prime is 5255034401. The reversal of 5255034400 is 44305525.

It is a super-3 number, since 3×5255034400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5255034401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3017530 + ... + 3019270.

It is an arithmetic number, because the mean of its divisors is an integer number (56702100).

Almost surely, 2^5255034400 is an apocalyptic number.

5255034400 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 5255034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8165102400).

5255034400 is an abundant number, since it is smaller than the sum of its proper divisors (11075170400).

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

5255034400 is a wasteful number, since it uses less digits than its factorization.

5255034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 5255034400 is about 72491.6160669632. The cubic root of 5255034400 is about 1738.5686912634.

Adding to 5255034400 its reverse (44305525), we get a palindrome (5299339925).

The spelling of 5255034400 in words is "five billion, two hundred fifty-five million, thirty-four thousand, four hundred".