65985852960 has 576 divisors, whose sum is σ = 247368401280. Its totient is φ = 16582164480.

The previous prime is 65985852953. The next prime is 65985852973. The reversal of 65985852960 is 6925858956.

65985852960 is a `hidden beast` number, since 6 + 59 + 8 + 58 + 529 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48482680 + ... + 48484040.

It is an arithmetic number, because the mean of its divisors is an integer number (429459030).

Almost surely, 2^65985852960 is an apocalyptic number.

65985852960 is a gapful number since it is divisible by the number (60) 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 65985852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123684200640).

65985852960 is an abundant number, since it is smaller than the sum of its proper divisors (181382548320).

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

65985852960 is a wasteful number, since it uses less digits than its factorization.

65985852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 65985852960 in words is "sixty-five billion, nine hundred eighty-five million, eight hundred fifty-two thousand, nine hundred sixty".