5311334400 has 288 divisors, whose sum is σ = 17751988800. Its totient is φ = 1400832000.

The previous prime is 5311334393. The next prime is 5311334401. The reversal of 5311334400 is 44331135.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5311334401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23193486 + ... + 23193714.

It is an arithmetic number, because the mean of its divisors is an integer number (61638850).

Almost surely, 2^5311334400 is an apocalyptic number.

5311334400 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 5311334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8875994400).

5311334400 is an abundant number, since it is smaller than the sum of its proper divisors (12440654400).

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

5311334400 is a wasteful number, since it uses less digits than its factorization.

5311334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5311334400 is about 72878.9022968925. The cubic root of 5311334400 is about 1744.7553891765.

Adding to 5311334400 its reverse (44331135), we get a palindrome (5355665535).

The spelling of 5311334400 in words is "five billion, three hundred eleven million, three hundred thirty-four thousand, four hundred".