61611006600 has 576 divisors, whose sum is σ = 245464914240. Its totient is φ = 13652121600.

The previous prime is 61611006577. The next prime is 61611006679. The reversal of 61611006600 is 660011616.

It is a super-2 number, since 2×61611006600² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27540682 + ... + 27542918.

It is an arithmetic number, because the mean of its divisors is an integer number (426154365).

Almost surely, 2^61611006600 is an apocalyptic number.

61611006600 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 61611006600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122732457120).

61611006600 is an abundant number, since it is smaller than the sum of its proper divisors (183853907640).

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

61611006600 is a wasteful number, since it uses less digits than its factorization.

61611006600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 61611006600 in words is "sixty-one billion, six hundred eleven million, six thousand, six hundred".