65033888355072 has 1296 divisors, whose sum is σ = 259534907835840. Its totient is φ = 15440865656832.

The previous prime is 65033888355071. The next prime is 65033888355097. The reversal of 65033888355072 is 27055388833056.

It is a happy number.

65033888355072 is a `hidden beast` number, since 6 + 5 + 0 + 3 + 3 + 8 + 8 + 8 + 3 + 550 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (65033888355071) 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 143 ways as a sum of consecutive naturals, for example, 573793704 + ... + 573907032.

It is an arithmetic number, because the mean of its divisors is an integer number (200258416540).

Almost surely, 2^{65033888355072} 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 65033888355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129767453917920).

65033888355072 is an abundant number, since it is smaller than the sum of its proper divisors (194501019480768).

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

65033888355072 is a wasteful number, since it uses less digits than its factorization.

65033888355072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113418 (or 113394 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 65033888355072 in words is "sixty-five trillion, thirty-three billion, eight hundred eighty-eight million, three hundred fifty-five thousand, seventy-two".