5955165216 has 648 divisors, whose sum is σ = 23373617904. Its totient is φ = 1421521920.

The previous prime is 5955165211. The next prime is 5955165239. The reversal of 5955165216 is 6125615595.

5955165216 is a `hidden beast` number, since 595 + 5 + 1 + 6 + 52 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5955165211) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26234095 + ... + 26234321.

It is an arithmetic number, because the mean of its divisors is an integer number (36070398).

Almost surely, 2^5955165216 is an apocalyptic number.

5955165216 is a gapful number since it is divisible by the number (56) 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 5955165216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11686808952).

5955165216 is an abundant number, since it is smaller than the sum of its proper divisors (17418452688).

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

5955165216 is a wasteful number, since it uses less digits than its factorization.

5955165216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 263 counting only the distinct ones).

The product of its digits is 405000, while the sum is 45.

The square root of 5955165216 is about 77169.7169620312. The cubic root of 5955165216 is about 1812.5831492952.

It can be divided in two parts, 5955 and 165216, that added together give a palindrome (171171).

The spelling of 5955165216 in words is "five billion, nine hundred fifty-five million, one hundred sixty-five thousand, two hundred sixteen".