11000100009976 has 256 divisors, whose sum is σ = 27967174041600. Its totient is φ = 3927457497600.

The previous prime is 11000100009967. The next prime is 11000100010019. The reversal of 11000100009976 is 67990000100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43917271 + ... + 44167033.

It is an arithmetic number, because the mean of its divisors is an integer number (109246773600).

Almost surely, 2^{11000100009976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000100009976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13983587020800).

11000100009976 is an abundant number, since it is smaller than the sum of its proper divisors (16967074031624).

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

11000100009976 is a wasteful number, since it uses less digits than its factorization.

11000100009976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249930 (or 249926 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 34.

Adding to 11000100009976 its reverse (67990000100011), we get a palindrome (78990100109987).

The spelling of 11000100009976 in words is "eleven trillion, one hundred million, nine thousand, nine hundred seventy-six".