11919063967776 has 576 divisors, whose sum is σ = 42024748147200. Its totient is φ = 3195891578880.

The previous prime is 11919063967757. The next prime is 11919063967849. The reversal of 11919063967776 is 67776936091911.

11919063967776 is a `hidden beast` number, since 1 + 19 + 1 + 90 + 6 + 396 + 77 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120368206 + ... + 120467186.

It is an arithmetic number, because the mean of its divisors is an integer number (72959632200).

Almost surely, 2^{11919063967776} is an apocalyptic number.

11919063967776 is a gapful number since it is divisible by the number (16) 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 11919063967776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012374073600).

11919063967776 is an abundant number, since it is smaller than the sum of its proper divisors (30105684179424).

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

11919063967776 is a wasteful number, since it uses less digits than its factorization.

11919063967776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99094 (or 99069 counting only the distinct ones).

The product of its (nonzero) digits is 162030456, while the sum is 72.

The spelling of 11919063967776 in words is "eleven trillion, nine hundred nineteen billion, sixty-three million, nine hundred sixty-seven thousand, seven hundred seventy-six".