11765882961 has 64 divisors (see below), whose sum is σ = 20205158400. Its totient is φ = 6628117248.

The previous prime is 11765882959. The next prime is 11765882977. The reversal of 11765882961 is 16928856711.

It is a happy number.

It is not a de Polignac number, because 11765882961 - 2¹ = 11765882959 is a prime.

It is a super-3 number, since 3×11765882961³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11765882898 and 11765882907.

It is not an unprimeable number, because it can be changed into a prime (11765832961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4508425 + ... + 4511033.

It is an arithmetic number, because the mean of its divisors is an integer number (315705600).

Almost surely, 2^11765882961 is an apocalyptic number.

It is an amenable number.

11765882961 is a deficient number, since it is larger than the sum of its proper divisors (8439275439).

11765882961 is a wasteful number, since it uses less digits than its factorization.

11765882961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2949 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 11765882961 in words is "eleven billion, seven hundred sixty-five million, eight hundred eighty-two thousand, nine hundred sixty-one".