61065139200 has 528 divisors, whose sum is σ = 224473299456. Its totient is φ = 14539161600.

The previous prime is 61065139171. The next prime is 61065139217. The reversal of 61065139200 is 293156016.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30949414 + ... + 30951386.

Almost surely, 2^61065139200 is an apocalyptic number.

61065139200 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 61065139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112236649728).

61065139200 is an abundant number, since it is smaller than the sum of its proper divisors (163408160256).

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

61065139200 is a wasteful number, since it uses less digits than its factorization.

61065139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2027 counting only the distinct ones).

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

The spelling of 61065139200 in words is "sixty-one billion, sixty-five million, one hundred thirty-nine thousand, two hundred".