65506100010516 has 72 divisors (see below), whose sum is σ = 180657680112000. Its totient is φ = 19848174353280.

The previous prime is 65506100010511. The next prime is 65506100010551. The reversal of 65506100010516 is 61501000160556.

65506100010516 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65506100010511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5348361 + ... + 12633968.

It is an arithmetic number, because the mean of its divisors is an integer number (2509134446000).

Almost surely, 2^{65506100010516} is an apocalyptic number.

65506100010516 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

65506100010516 is an abundant number, since it is smaller than the sum of its proper divisors (115151580101484).

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

65506100010516 is a wasteful number, since it uses less digits than its factorization.

65506100010516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17991549 (or 17991544 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 65506100010516 in words is "sixty-five trillion, five hundred six billion, one hundred million, ten thousand, five hundred sixteen".