61459786560 has 112 divisors (see below), whose sum is σ = 201429591552. Its totient is φ = 15860582400.

The previous prime is 61459786547. The next prime is 61459786649. The reversal of 61459786560 is 6568795416.

61459786560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61459786560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1002831 + ... + 1062350.

It is an arithmetic number, because the mean of its divisors is an integer number (1798478496).

Almost surely, 2^61459786560 is an apocalyptic number.

61459786560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61459786560 is an abundant number, since it is smaller than the sum of its proper divisors (139969804992).

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

61459786560 is a wasteful number, since it uses less digits than its factorization.

61459786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065232 (or 2065222 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 61459786560 in words is "sixty-one billion, four hundred fifty-nine million, seven hundred eighty-six thousand, five hundred sixty".