5850963331200 has 2592 divisors, whose sum is σ = 25112547811260. Its totient is φ = 1341542891520.

The previous prime is 5850963331091. The next prime is 5850963331207. The reversal of 5850963331200 is 21333690585.

It is a happy number.

5850963331200 is a `hidden beast` number, since 5 + 8 + 5 + 0 + 9 + 633 + 3 + 1 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 930977976384 + 4919985354816 = 964872^2 + 2218104^2 .

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5850963331207) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 60319209552 + ... + 60319209648.

Almost surely, 2^{5850963331200} is an apocalyptic number.

5850963331200 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 5850963331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12556273905630).

5850963331200 is an abundant number, since it is smaller than the sum of its proper divisors (19261584480060).

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

5850963331200 is an equidigital number, since it uses as much as digits as its factorization.

5850963331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 5850963331200 in words is "five trillion, eight hundred fifty billion, nine hundred sixty-three million, three hundred thirty-one thousand, two hundred".