61659895616 has 112 divisors (see below), whose sum is σ = 141899152320. Its totient is φ = 26288640000.

The previous prime is 61659895579. The next prime is 61659895651.

61659895616 is nontrivially palindromic in base 10.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1328156 + ... + 1373796.

Almost surely, 2^61659895616 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 61659895616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70949576160).

61659895616 is an abundant number, since it is smaller than the sum of its proper divisors (80239256704).

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

61659895616 is a wasteful number, since it uses less digits than its factorization.

61659895616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45784 (or 45774 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 62.

The spelling of 61659895616 in words is "sixty-one billion, six hundred fifty-nine million, eight hundred ninety-five thousand, six hundred sixteen".