10976066349120 has 336 divisors, whose sum is σ = 38626210621440. Its totient is φ = 2859895296000.

The previous prime is 10976066349089. The next prime is 10976066349133. The reversal of 10976066349120 is 2194366067901.

10976066349120 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 606 + 6 + 3 + 4 + 9 + 1 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26320801 + ... + 26734559.

Almost surely, 2^{10976066349120} is an apocalyptic number.

10976066349120 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 10976066349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19313105310720).

10976066349120 is an abundant number, since it is smaller than the sum of its proper divisors (27650144272320).

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

10976066349120 is a wasteful number, since it uses less digits than its factorization.

10976066349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413994 (or 413981 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 10976066349120 in words is "ten trillion, nine hundred seventy-six billion, sixty-six million, three hundred forty-nine thousand, one hundred twenty".