61610760386856 has 128 divisors (see below), whose sum is σ = 178586610278400. Its totient is φ = 19643493988800.

The previous prime is 61610760386839. The next prime is 61610760386867. The reversal of 61610760386856 is 65868306701616.

61610760386856 is a `hidden beast` number, since 6 + 1 + 6 + 10 + 7 + 603 + 8 + 6 + 8 + 5 + 6 = 666.

61610760386856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61610760386793 and 61610760386802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218207485 + ... + 218489651.

It is an arithmetic number, because the mean of its divisors is an integer number (1395207892800).

Almost surely, 2^{61610760386856} is an apocalyptic number.

It is an amenable number.

61610760386856 is an abundant number, since it is smaller than the sum of its proper divisors (116975849891544).

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

61610760386856 is a wasteful number, since it uses less digits than its factorization.

61610760386856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326156 (or 326146 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 61610760386856 in words is "sixty-one trillion, six hundred ten billion, seven hundred sixty million, three hundred eighty-six thousand, eight hundred fifty-six".