11151620200 has 96 divisors (see below), whose sum is σ = 29711044800. Its totient is φ = 3813143040.

The previous prime is 11151620177. The next prime is 11151620209. The reversal of 11151620200 is 202615111.

It is not an unprimeable number, because it can be changed into a prime (11151620209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 520092 + ... + 541108.

It is an arithmetic number, because the mean of its divisors is an integer number (309490050).

Almost surely, 2^11151620200 is an apocalyptic number.

11151620200 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 11151620200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14855522400).

11151620200 is an abundant number, since it is smaller than the sum of its proper divisors (18559424600).

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

11151620200 is a wasteful number, since it uses less digits than its factorization.

11151620200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21419 (or 21410 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The spelling of 11151620200 in words is "eleven billion, one hundred fifty-one million, six hundred twenty thousand, two hundred".