65852611625856 has 128 divisors (see below), whose sum is σ = 190870438089600. Its totient is φ = 19950366464000.

The previous prime is 65852611625849. The next prime is 65852611625861.

65852611625856 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×65852611625856³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15036706 + ... + 18915806.

It is an arithmetic number, because the mean of its divisors is an integer number (1491175297575).

Almost surely, 2^{65852611625856} is an apocalyptic number.

65852611625856 is a gapful number since it is divisible by the number (66) 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 65852611625856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95435219044800).

65852611625856 is an abundant number, since it is smaller than the sum of its proper divisors (125017826463744).

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

65852611625856 is a wasteful number, since it uses less digits than its factorization.

65852611625856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883148 (or 3883136 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 66.

The spelling of 65852611625856 in words is "sixty-five trillion, eight hundred fifty-two billion, six hundred eleven million, six hundred twenty-five thousand, eight hundred fifty-six".