6161116600560 has 160 divisors (see below), whose sum is σ = 19666889809920. Its totient is φ = 1594385316864.

The previous prime is 6161116600547. The next prime is 6161116600619. The reversal of 6161116600560 is 650066111616.

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, 2495271 + ... + 4306809.

It is an arithmetic number, because the mean of its divisors is an integer number (122918061312).

Almost surely, 2^{6161116600560} is an apocalyptic number.

6161116600560 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 6161116600560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9833444904960).

6161116600560 is an abundant number, since it is smaller than the sum of its proper divisors (13505773209360).

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

6161116600560 is a wasteful number, since it uses less digits than its factorization.

6161116600560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811975 (or 1811969 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

It can be divided in two parts, 6161116 and 600560, that added together give a palindrome (6761676).

The spelling of 6161116600560 in words is "six trillion, one hundred sixty-one billion, one hundred sixteen million, six hundred thousand, five hundred sixty".