11969669376000 has 960 divisors, whose sum is σ = 50993903600640. Its totient is φ = 2735891251200.

The previous prime is 11969669375987. The next prime is 11969669376037. The reversal of 11969669376000 is 67396696911.

11969669376000 is a `hidden beast` number, since 1 + 19 + 6 + 9 + 6 + 6 + 9 + 3 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145110769 + ... + 145193231.

It is an arithmetic number, because the mean of its divisors is an integer number (53118649584).

Almost surely, 2^{11969669376000} is an apocalyptic number.

11969669376000 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 11969669376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25496951800320).

11969669376000 is an abundant number, since it is smaller than the sum of its proper divisors (39024234224640).

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

11969669376000 is an frugal number, since it uses more digits than its factorization.

11969669376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82519 (or 82480 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 11969669376000 in words is "eleven trillion, nine hundred sixty-nine billion, six hundred sixty-nine million, three hundred seventy-six thousand".