10737586561 has 8 divisors (see below), whose sum is σ = 11564360640. Its totient is φ = 9910927632.

The previous prime is 10737586499. The next prime is 10737586567. The reversal of 10737586561 is 16568573701.

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

It is a cyclic number.

It is not a de Polignac number, because 10737586561 - 2²³ = 10729197953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10737586567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338946 + ... + 369268.

It is an arithmetic number, because the mean of its divisors is an integer number (1445545080).

Almost surely, 2^10737586561 is an apocalyptic number.

It is an amenable number.

10737586561 is a deficient number, since it is larger than the sum of its proper divisors (826774079).

10737586561 is a wasteful number, since it uses less digits than its factorization.

10737586561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57575.

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 10737586561 in words is "ten billion, seven hundred thirty-seven million, five hundred eighty-six thousand, five hundred sixty-one".