11976669120 has 336 divisors, whose sum is σ = 42147731808. Its totient is φ = 2864332800.

The previous prime is 11976669113. The next prime is 11976669137. The reversal of 11976669120 is 2196667911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11976669120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17084770 + ... + 17085470.

It is an arithmetic number, because the mean of its divisors is an integer number (125439678).

Almost surely, 2^11976669120 is an apocalyptic number.

11976669120 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 11976669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21073865904).

11976669120 is an abundant number, since it is smaller than the sum of its proper divisors (30171062688).

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

11976669120 is a wasteful number, since it uses less digits than its factorization.

11976669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The spelling of 11976669120 in words is "eleven billion, nine hundred seventy-six million, six hundred sixty-nine thousand, one hundred twenty".