61116165000 has 480 divisors, whose sum is σ = 226936607040. Its totient is φ = 14731200000.

The previous prime is 61116164957. The next prime is 61116165001. The reversal of 61116165000 is 56161116.

61116165000 is a `hidden beast` number, since 6 + 1 + 1 + 1 + 6 + 1 + 650 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61116165001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 153944802 + ... + 153945198.

It is an arithmetic number, because the mean of its divisors is an integer number (472784598).

Almost surely, 2^61116165000 is an apocalyptic number.

61116165000 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 61116165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113468303520).

61116165000 is an abundant number, since it is smaller than the sum of its proper divisors (165820442040).

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

61116165000 is a wasteful number, since it uses less digits than its factorization.

61116165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 61116165000 in words is "sixty-one billion, one hundred sixteen million, one hundred sixty-five thousand".