11967766800 has 120 divisors (see below), whose sum is σ = 41821951200. Its totient is φ = 2901273600.

The previous prime is 11967766793. The next prime is 11967766823. The reversal of 11967766800 is 866776911.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 440125 + ... + 466524.

It is an arithmetic number, because the mean of its divisors is an integer number (348516260).

Almost surely, 2^11967766800 is an apocalyptic number.

11967766800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11967766800 is an abundant number, since it is smaller than the sum of its proper divisors (29854184400).

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

11967766800 is a wasteful number, since it uses less digits than its factorization.

11967766800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906681 (or 906670 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

It can be divided in two parts, 1196776 and 6800, that added together give a triangular number (1203576 = T₁₅₅₁).

The spelling of 11967766800 in words is "eleven billion, nine hundred sixty-seven million, seven hundred sixty-six thousand, eight hundred".