61101166600 has 96 divisors (see below), whose sum is σ = 144947274120. Its totient is φ = 23945093120.

The previous prime is 61101166571. The next prime is 61101166639. The reversal of 61101166600 is 666110116.

It can be written as a sum of positive squares in 12 ways, for example, as 248004 + 61100918596 = 498^2 + 247186^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8190072 + ... + 8197528.

Almost surely, 2^61101166600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61101166600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72473637060).

61101166600 is an abundant number, since it is smaller than the sum of its proper divisors (83846107520).

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

61101166600 is a wasteful number, since it uses less digits than its factorization.

61101166600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8299 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

Adding to 61101166600 its reverse (666110116), we get a palindrome (61767276716).

The spelling of 61101166600 in words is "sixty-one billion, one hundred one million, one hundred sixty-six thousand, six hundred".