5011304400 has 360 divisors, whose sum is σ = 18781476480. Its totient is φ = 1233576960.

The previous prime is 5011304357. The next prime is 5011304443. The reversal of 5011304400 is 44031105.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5011304357) and next prime (5011304443).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5011304400² = 50226343578918720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2400157 + ... + 2402243.

It is an arithmetic number, because the mean of its divisors is an integer number (52170768).

Almost surely, 2^5011304400 is an apocalyptic number.

5011304400 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 5011304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9390738240).

5011304400 is an abundant number, since it is smaller than the sum of its proper divisors (13770172080).

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

5011304400 is a wasteful number, since it uses less digits than its factorization.

5011304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5011304400 is about 70790.5671682322. The cubic root of 5011304400 is about 1711.2636601813.

Adding to 5011304400 its reverse (44031105), we get a palindrome (5055335505).

The spelling of 5011304400 in words is "five billion, eleven million, three hundred four thousand, four hundred".