61661610110600 has 24 divisors (see below), whose sum is σ = 143363243507610. Its totient is φ = 24664644044160.

The previous prime is 61661610110563. The next prime is 61661610110609. The reversal of 61661610110600 is 601101616616.

61661610110600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 52420119550276 + 9241490560324 = 7240174^2 + 3039982^2 .

It is a super-2 number, since 2×61661610110600² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61661610110609) 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 5 ways as a sum of consecutive naturals, for example, 154154025077 + ... + 154154025476.

Almost surely, 2^{61661610110600} is an apocalyptic number.

It is an amenable number.

61661610110600 is an abundant number, since it is smaller than the sum of its proper divisors (81701633397010).

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

61661610110600 is a wasteful number, since it uses less digits than its factorization.

61661610110600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308308050569 (or 308308050560 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 61661610110600 in words is "sixty-one trillion, six hundred sixty-one billion, six hundred ten million, one hundred ten thousand, six hundred".