61564788560 has 80 divisors (see below), whose sum is σ = 156220840512. Its totient is φ = 22377139200.

The previous prime is 61564788553. The next prime is 61564788563. The reversal of 61564788560 is 6588746516.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 61564788496 and 61564788505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61564788563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107172 + ... + 2136188.

Almost surely, 2^61564788560 is an apocalyptic number.

It is an amenable number.

61564788560 is an abundant number, since it is smaller than the sum of its proper divisors (94656051952).

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

61564788560 is a wasteful number, since it uses less digits than its factorization.

61564788560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31452 (or 31446 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 61564788560 in words is "sixty-one billion, five hundred sixty-four million, seven hundred eighty-eight thousand, five hundred sixty".