61116065065560 has 128 divisors (see below), whose sum is σ = 185604556032000. Its totient is φ = 16097152152576.

The previous prime is 61116065065501. The next prime is 61116065065661. The reversal of 61116065065560 is 6556056061116.

61116065065560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61116065065560² (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 38351961 + ... + 39913719.

It is an arithmetic number, because the mean of its divisors is an integer number (1450035594000).

Almost surely, 2^{61116065065560} is an apocalyptic number.

61116065065560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61116065065560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92802278016000).

61116065065560 is an abundant number, since it is smaller than the sum of its proper divisors (124488490966440).

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

61116065065560 is a wasteful number, since it uses less digits than its factorization.

61116065065560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565785 (or 1565781 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 61116065065560 in words is "sixty-one trillion, one hundred sixteen billion, sixty-five million, sixty-five thousand, five hundred sixty".