5965839516 has 384 divisors, whose sum is σ = 18785894400. Its totient is φ = 1431198720.

The previous prime is 5965839491. The next prime is 5965839533. The reversal of 5965839516 is 6159385695.

It is a happy number.

It is a super-2 number, since 2×5965839516² = 71182482261334228512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57920721 + ... + 57920823.

It is an arithmetic number, because the mean of its divisors is an integer number (48921600).

Almost surely, 2^5965839516 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 5965839516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9392947200).

5965839516 is an abundant number, since it is smaller than the sum of its proper divisors (12820054884).

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

5965839516 is a wasteful number, since it uses less digits than its factorization.

5965839516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 57.

The square root of 5965839516 is about 77238.8471949187. The cubic root of 5965839516 is about 1813.6654874563.

The spelling of 5965839516 in words is "five billion, nine hundred sixty-five million, eight hundred thirty-nine thousand, five hundred sixteen".