10727976961 has 16 divisors (see below), whose sum is σ = 11656512000. Its totient is φ = 9814552128.

The previous prime is 10727976949. The next prime is 10727976967. The reversal of 10727976961 is 16967972701.

It is a cyclic number.

It is not a de Polignac number, because 10727976961 - 2³³ = 2138042369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10727976967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750600 + ... + 764758.

It is an arithmetic number, because the mean of its divisors is an integer number (728532000).

Almost surely, 2^10727976961 is an apocalyptic number.

It is an amenable number.

10727976961 is a deficient number, since it is larger than the sum of its proper divisors (928535039).

10727976961 is a wasteful number, since it uses less digits than its factorization.

10727976961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14688.

The product of its (nonzero) digits is 2000376, while the sum is 55.

The spelling of 10727976961 in words is "ten billion, seven hundred twenty-seven million, nine hundred seventy-six thousand, nine hundred sixty-one".