5311024400 has 480 divisors, whose sum is σ = 16091291520. Its totient is φ = 1658880000.

The previous prime is 5311024387. The next prime is 5311024409. The reversal of 5311024400 is 44201135.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5311024409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52584350 + ... + 52584450.

It is an arithmetic number, because the mean of its divisors is an integer number (33523524).

Almost surely, 2^5311024400 is an apocalyptic number.

5311024400 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 5311024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045645760).

5311024400 is an abundant number, since it is smaller than the sum of its proper divisors (10780267120).

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

5311024400 is a wasteful number, since it uses less digits than its factorization.

5311024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5311024400 is about 72876.7754500705. The cubic root of 5311024400 is about 1744.7214438655.

Adding to 5311024400 its reverse (44201135), we get a palindrome (5355225535).

The spelling of 5311024400 in words is "five billion, three hundred eleven million, twenty-four thousand, four hundred".