11916786960 has 320 divisors, whose sum is σ = 44959622400. Its totient is φ = 2883244032.

The previous prime is 11916786953. The next prime is 11916786967. The reversal of 11916786960 is 6968761911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11916786953) and next prime (11916786967).

It is a super-2 number, since 2×11916786960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11916786897 and 11916786906.

It is not an unprimeable number, because it can be changed into a prime (11916786967) 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, 1653124 + ... + 1660316.

It is an arithmetic number, because the mean of its divisors is an integer number (140498820).

Almost surely, 2^11916786960 is an apocalyptic number.

11916786960 is a gapful number since it is divisible by the number (10) 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 11916786960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22479811200).

11916786960 is an abundant number, since it is smaller than the sum of its proper divisors (33042835440).

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

11916786960 is a wasteful number, since it uses less digits than its factorization.

11916786960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 11916786960 in words is "eleven billion, nine hundred sixteen million, seven hundred eighty-six thousand, nine hundred sixty".