11151901800 has 576 divisors, whose sum is σ = 44075304000. Its totient is φ = 2597806080.

The previous prime is 11151901741. The next prime is 11151901841. The reversal of 11151901800 is 810915111.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12003736 + ... + 12004664.

It is an arithmetic number, because the mean of its divisors is an integer number (76519625).

Almost surely, 2^11151901800 is an apocalyptic number.

11151901800 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 11151901800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22037652000).

11151901800 is an abundant number, since it is smaller than the sum of its proper divisors (32923402200).

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

11151901800 is a wasteful number, since it uses less digits than its factorization.

11151901800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 27.

The spelling of 11151901800 in words is "eleven billion, one hundred fifty-one million, nine hundred one thousand, eight hundred".