11954591921160 has 768 divisors, whose sum is σ = 47520916185600. Its totient is φ = 2544130031616.

The previous prime is 11954591921137. The next prime is 11954591921189. The reversal of 11954591921160 is 6112919545911.

11954591921160 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 459 + 1 + 9 + 21 + 160 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11954591921097 and 11954591921106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3674942094 + ... + 3674945346.

It is an arithmetic number, because the mean of its divisors is an integer number (61876192950).

Almost surely, 2^{11954591921160} is an apocalyptic number.

11954591921160 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 11954591921160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23760458092800).

11954591921160 is an abundant number, since it is smaller than the sum of its proper divisors (35566324264440).

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

11954591921160 is a wasteful number, since it uses less digits than its factorization.

11954591921160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 54.

The spelling of 11954591921160 in words is "eleven trillion, nine hundred fifty-four billion, five hundred ninety-one million, nine hundred twenty-one thousand, one hundred sixty".