11100975872 has 216 divisors, whose sum is σ = 27738224640. Its totient is φ = 4406814720.

The previous prime is 11100975817. The next prime is 11100975881. The reversal of 11100975872 is 27857900111.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11201297 + ... + 11202287.

Almost surely, 2^11100975872 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 11100975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13869112320).

11100975872 is an abundant number, since it is smaller than the sum of its proper divisors (16637248768).

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

11100975872 is an equidigital number, since it uses as much as digits as its factorization.

11100975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 41.

The spelling of 11100975872 in words is "eleven billion, one hundred million, nine hundred seventy-five thousand, eight hundred seventy-two".