5094144000 has 768 divisors, whose sum is σ = 20851084800. Its totient is φ = 1216512000.

The previous prime is 5094143911. The next prime is 5094144019. The reversal of 5094144000 is 4414905.

5094144000 = 156³ + 157³ + ... + 380³.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 76031967 + ... + 76032033.

It is an arithmetic number, because the mean of its divisors is an integer number (27149850).

Almost surely, 2^5094144000 is an apocalyptic number.

5094144000 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 5094144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10425542400).

5094144000 is an abundant number, since it is smaller than the sum of its proper divisors (15756940800).

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

5094144000 is a wasteful number, since it uses less digits than its factorization.

5094144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5094144000 is about 71373.2723083368. The cubic root of 5094144000 is about 1720.6415490306.

Adding to 5094144000 its reverse (4414905), we get a palindrome (5098558905).

The spelling of 5094144000 in words is "five billion, ninety-four million, one hundred forty-four thousand".