6161516116560 has 120 divisors (see below), whose sum is σ = 23648485685760. Its totient is φ = 1408346539776.

The previous prime is 6161516116549. The next prime is 6161516116573. The reversal of 6161516116560 is 656116151616.

6161516116560 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 516 + 11 + 65 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 611256480 + ... + 611266559.

It is an arithmetic number, because the mean of its divisors is an integer number (197070714048).

Almost surely, 2^{6161516116560} is an apocalyptic number.

6161516116560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6161516116560 is an abundant number, since it is smaller than the sum of its proper divisors (17486969569200).

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

6161516116560 is a wasteful number, since it uses less digits than its factorization.

6161516116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222523065 (or 1222523056 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 6161516116560 in words is "six trillion, one hundred sixty-one billion, five hundred sixteen million, one hundred sixteen thousand, five hundred sixty".