11211076861110 has 384 divisors, whose sum is σ = 34673850731520. Its totient is φ = 2553123815424.

The previous prime is 11211076861067. The next prime is 11211076861121. The reversal of 11211076861110 is 1116867011211.

11211076861110 is a `hidden beast` number, since 1 + 1 + 21 + 1 + 0 + 7 + 6 + 8 + 611 + 10 = 666.

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 191 ways as a sum of consecutive naturals, for example, 8643851982 + ... + 8643853278.

It is an arithmetic number, because the mean of its divisors is an integer number (90296486280).

Almost surely, 2^{11211076861110} is an apocalyptic number.

11211076861110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211076861110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336925365760).

11211076861110 is an abundant number, since it is smaller than the sum of its proper divisors (23462773870410).

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

11211076861110 is a wasteful number, since it uses less digits than its factorization.

11211076861110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 36.

The spelling of 11211076861110 in words is "eleven trillion, two hundred eleven billion, seventy-six million, eight hundred sixty-one thousand, one hundred ten".