561717135360 has 144 divisors (see below), whose sum is σ = 1946810977020. Its totient is φ = 149791211520.

The previous prime is 561717135359. The next prime is 561717135373. The reversal of 561717135360 is 63531717165.

561717135360 is a `hidden beast` number, since 5 + 6 + 171 + 71 + 353 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 561708278784 + 8856576 = 749472^2 + 2976^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×561717135360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 2955351 + ... + 3139670.

Almost surely, 2^561717135360 is an apocalyptic number.

It is an amenable number.

561717135360 is an abundant number, since it is smaller than the sum of its proper divisors (1385093841660).

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

561717135360 is a wasteful number, since it uses less digits than its factorization.

561717135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095054 (or 6095031 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 561717135360 in words is "five hundred sixty-one billion, seven hundred seventeen million, one hundred thirty-five thousand, three hundred sixty".