10564400305661 has 8 divisors (see below), whose sum is σ = 11120571277920. Its totient is φ = 10008244323792.

The previous prime is 10564400305643. The next prime is 10564400305663. The reversal of 10564400305661 is 16650300446501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10564400305661 is a prime.

It is a super-2 number, since 2×10564400305661² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10564400305663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2286395 + ... + 5133848.

It is an arithmetic number, because the mean of its divisors is an integer number (1390071409740).

Almost surely, 2^{10564400305661} is an apocalyptic number.

It is an amenable number.

10564400305661 is a deficient number, since it is larger than the sum of its proper divisors (556170972259).

10564400305661 is an equidigital number, since it uses as much as digits as its factorization.

10564400305661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7495195.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 10564400305661 in words is "ten trillion, five hundred sixty-four billion, four hundred million, three hundred five thousand, six hundred sixty-one".