61200059136 has 288 divisors, whose sum is σ = 178155694080. Its totient is φ = 18579456000.

The previous prime is 61200059119. The next prime is 61200059183. The reversal of 61200059136 is 63195000216.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 61200059097 and 61200059106.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 87303586 + ... + 87304286.

It is an arithmetic number, because the mean of its divisors is an integer number (618596160).

Almost surely, 2^61200059136 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 61200059136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89077847040).

61200059136 is an abundant number, since it is smaller than the sum of its proper divisors (116955634944).

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

61200059136 is a wasteful number, since it uses less digits than its factorization.

61200059136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 61200059136 in words is "sixty-one billion, two hundred million, fifty-nine thousand, one hundred thirty-six".