11777778960 has 80 divisors (see below), whose sum is σ = 36696597696. Its totient is φ = 3124785664.

The previous prime is 11777778949. The next prime is 11777778967. The reversal of 11777778960 is 6987777711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 11777778894 and 11777778903.

It is not an unprimeable number, because it can be changed into a prime (11777778967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77274 + ... + 171833.

Almost surely, 2^11777778960 is an apocalyptic number.

11777778960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11777778960 is an abundant number, since it is smaller than the sum of its proper divisors (24918818736).

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

11777778960 is a wasteful number, since it uses less digits than its factorization.

11777778960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249320 (or 249314 counting only the distinct ones).

The product of its (nonzero) digits is 7260624, while the sum is 60.

The spelling of 11777778960 in words is "eleven billion, seven hundred seventy-seven million, seven hundred seventy-eight thousand, nine hundred sixty".