5965118208 has 576 divisors, whose sum is σ = 21537546240. Its totient is φ = 1592524800.

The previous prime is 5965118189. The next prime is 5965118209. The reversal of 5965118208 is 8028115695.

It is a happy number.

5965118208 is a `hidden beast` number, since 59 + 6 + 511 + 82 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (5965118209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61496016 + ... + 61496112.

Almost surely, 2^5965118208 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 5965118208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10768773120).

5965118208 is an abundant number, since it is smaller than the sum of its proper divisors (15572428032).

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

5965118208 is a wasteful number, since it uses less digits than its factorization.

5965118208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 5965118208 is about 77234.1777194527. The cubic root of 5965118208 is about 1813.5923899400.

The spelling of 5965118208 in words is "five billion, nine hundred sixty-five million, one hundred eighteen thousand, two hundred eight".