65505506606112 has 48 divisors (see below), whose sum is σ = 171953355313152. Its totient is φ = 21834991031040.

The previous prime is 65505506606101. The next prime is 65505506606119. The reversal of 65505506606112 is 21160660550556.

65505506606112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (65505506606119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9343713 + ... + 14775519.

It is an arithmetic number, because the mean of its divisors is an integer number (3582361569024).

Almost surely, 2^{65505506606112} is an apocalyptic number.

It is an amenable number.

65505506606112 is an abundant number, since it is smaller than the sum of its proper divisors (106447848707040).

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

65505506606112 is a wasteful number, since it uses less digits than its factorization.

65505506606112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557441 (or 5557433 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 48.

The spelling of 65505506606112 in words is "sixty-five trillion, five hundred five billion, five hundred six million, six hundred six thousand, one hundred twelve".