5852116512 has 288 divisors, whose sum is σ = 19443400704. Its totient is φ = 1715385600.

The previous prime is 5852116511. The next prime is 5852116513. The reversal of 5852116512 is 2156112585.

5852116512 is a `hidden beast` number, since 585 + 2 + 1 + 1 + 65 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (5852116511) and next prime (5852116513).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5852116512² = 68494535340046092288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5852116511) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2650513 + ... + 2652719.

It is an arithmetic number, because the mean of its divisors is an integer number (67511808).

Almost surely, 2^5852116512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5852116512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9721700352).

5852116512 is an abundant number, since it is smaller than the sum of its proper divisors (13591284192).

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

5852116512 is a wasteful number, since it uses less digits than its factorization.

5852116512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2254 counting only the distinct ones).

The product of its digits is 24000, while the sum is 36.

The square root of 5852116512 is about 76499.1275244365. The cubic root of 5852116512 is about 1802.0672249694.

The spelling of 5852116512 in words is "five billion, eight hundred fifty-two million, one hundred sixteen thousand, five hundred twelve".