11765950656 has 112 divisors (see below), whose sum is σ = 32554980864. Its totient is φ = 3743297536.

The previous prime is 11765950649. The next prime is 11765950663. The reversal of 11765950656 is 65605956711.

It is an interprime number because it is at equal distance from previous prime (11765950649) and next prime (11765950663).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11765950599 and 11765950608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2218600 + ... + 2223896.

It is an arithmetic number, because the mean of its divisors is an integer number (290669472).

Almost surely, 2^11765950656 is an apocalyptic number.

11765950656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11765950656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277490432).

11765950656 is an abundant number, since it is smaller than the sum of its proper divisors (20789030208).

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

11765950656 is a wasteful number, since it uses less digits than its factorization.

11765950656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 51.

The spelling of 11765950656 in words is "eleven billion, seven hundred sixty-five million, nine hundred fifty thousand, six hundred fifty-six".