11306072026200 has 288 divisors, whose sum is σ = 40802084102160. Its totient is φ = 2582279884800.

The previous prime is 11306072026169. The next prime is 11306072026229. The reversal of 11306072026200 is 262027060311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38691844 + ... + 38982956.

Almost surely, 2^{11306072026200} is an apocalyptic number.

11306072026200 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 11306072026200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20401042051080).

11306072026200 is an abundant number, since it is smaller than the sum of its proper divisors (29496012075960).

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

11306072026200 is a wasteful number, since it uses less digits than its factorization.

11306072026200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292467 (or 292451 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 11306072026200 its reverse (262027060311), we get a palindrome (11568099086511).

The spelling of 11306072026200 in words is "eleven trillion, three hundred six billion, seventy-two million, twenty-six thousand, two hundred".