5121144000 has 560 divisors, whose sum is σ = 21671158080. Its totient is φ = 1169510400.

The previous prime is 5121143999. The next prime is 5121144029. The reversal of 5121144000 is 4411215.

5121144000 is a `hidden beast` number, since 51 + 211 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×5121144000² = 52452231737472000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4535436 + ... + 4536564.

Almost surely, 2^5121144000 is an apocalyptic number.

5121144000 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 5121144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10835579040).

5121144000 is an abundant number, since it is smaller than the sum of its proper divisors (16550014080).

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

5121144000 is a wasteful number, since it uses less digits than its factorization.

5121144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5121144000 is about 71562.1687765261. The cubic root of 5121144000 is about 1723.6761108662.

Adding to 5121144000 its reverse (4411215), we get a palindrome (5125555215).

The spelling of 5121144000 in words is "five billion, one hundred twenty-one million, one hundred forty-four thousand".