65652971948928 has 896 divisors, whose sum is σ = 241927117286400. Its totient is φ = 17273932369920.

The previous prime is 65652971948917. The next prime is 65652971948929. The reversal of 65652971948928 is 82984917925656.

65652971948928 is a `hidden beast` number, since 6 + 5 + 6 + 529 + 7 + 1 + 9 + 4 + 89 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65652971948929) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 3659780983 + ... + 3659798921.

It is an arithmetic number, because the mean of its divisors is an integer number (270007943400).

Almost surely, 2^{65652971948928} 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 65652971948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120963558643200).

65652971948928 is an abundant number, since it is smaller than the sum of its proper divisors (176274145337472).

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

65652971948928 is a wasteful number, since it uses less digits than its factorization.

65652971948928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18422 (or 18395 counting only the distinct ones).

The product of its digits is 4702924800, while the sum is 81.

The spelling of 65652971948928 in words is "sixty-five trillion, six hundred fifty-two billion, nine hundred seventy-one million, nine hundred forty-eight thousand, nine hundred twenty-eight".