5211434400 has 72 divisors (see below), whose sum is σ = 16963226784. Its totient is φ = 1389715200.

The previous prime is 5211434381. The next prime is 5211434413. The reversal of 5211434400 is 44341125.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1083316 + ... + 1088115.

It is an arithmetic number, because the mean of its divisors is an integer number (235600372).

Almost surely, 2^5211434400 is an apocalyptic number.

5211434400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5211434400 is an abundant number, since it is smaller than the sum of its proper divisors (11751792384).

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

5211434400 is a wasteful number, since it uses less digits than its factorization.

5211434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171454 (or 2171441 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5211434400 is about 72190.2652717110. The cubic root of 5211434400 is about 1733.7471431467.

Adding to 5211434400 its reverse (44341125), we get a palindrome (5255775525).

The spelling of 5211434400 in words is "five billion, two hundred eleven million, four hundred thirty-four thousand, four hundred".