65631105008 has 160 divisors (see below), whose sum is σ = 154179417600. Its totient is φ = 26470499328.

The previous prime is 65631104971. The next prime is 65631105017. The reversal of 65631105008 is 80050113656.

It is a super-2 number, since 2×65631105008² (a number of 22 digits) 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28058303 + ... + 28060641.

It is an arithmetic number, because the mean of its divisors is an integer number (963621360).

Almost surely, 2^65631105008 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 65631105008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77089708800).

65631105008 is an abundant number, since it is smaller than the sum of its proper divisors (88548312592).

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

65631105008 is a wasteful number, since it uses less digits than its factorization.

65631105008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 65631105008 in words is "sixty-five billion, six hundred thirty-one million, one hundred five thousand, eight".