11811090600 has 384 divisors, whose sum is σ = 41943744000. Its totient is φ = 3053399040.

The previous prime is 11811090583. The next prime is 11811090601. The reversal of 11811090600 is 609011811.

It is a super-2 number, since 2×11811090600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11811090601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43907266 + ... + 43907534.

It is an arithmetic number, because the mean of its divisors is an integer number (109228500).

Almost surely, 2^11811090600 is an apocalyptic number.

11811090600 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 11811090600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971872000).

11811090600 is an abundant number, since it is smaller than the sum of its proper divisors (30132653400).

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

11811090600 is a wasteful number, since it uses less digits than its factorization.

11811090600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 11811090600 in words is "eleven billion, eight hundred eleven million, ninety thousand, six hundred".