11095011900 has 432 divisors, whose sum is σ = 40752391680. Its totient is φ = 2472768000.

The previous prime is 11095011877. The next prime is 11095011911. The reversal of 11095011900 is 911059011.

It is a super-2 number, since 2×11095011900² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73476825 + ... + 73476975.

It is an arithmetic number, because the mean of its divisors is an integer number (94334240).

Almost surely, 2^11095011900 is an apocalyptic number.

11095011900 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 11095011900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376195840).

11095011900 is an abundant number, since it is smaller than the sum of its proper divisors (29657379780).

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

11095011900 is a wasteful number, since it uses less digits than its factorization.

11095011900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 27.

The spelling of 11095011900 in words is "eleven billion, ninety-five million, eleven thousand, nine hundred".