5850144000 has 720 divisors, whose sum is σ = 22725118416. Its totient is φ = 1492992000.

The previous prime is 5850143983. The next prime is 5850144017. The reversal of 5850144000 is 4410585.

It is an interprime number because it is at equal distance from previous prime (5850143983) and next prime (5850144017).

It can be written as a sum of positive squares in 8 ways, for example, as 2313225216 + 3536918784 = 48096^2 + 59472^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 95903970 + ... + 95904030.

Almost surely, 2^5850144000 is an apocalyptic number.

5850144000 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 5850144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11362559208).

5850144000 is an abundant number, since it is smaller than the sum of its proper divisors (16874974416).

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

5850144000 is an equidigital number, since it uses as much as digits as its factorization.

5850144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5850144000 is about 76486.2340555475. The cubic root of 5850144000 is about 1801.8647342031.

Adding to 5850144000 its reverse (4410585), we get a palindrome (5854554585).

The spelling of 5850144000 in words is "five billion, eight hundred fifty million, one hundred forty-four thousand".