11206905600 has 432 divisors, whose sum is σ = 41242360320. Its totient is φ = 2656665600.

The previous prime is 11206905583. The next prime is 11206905607. The reversal of 11206905600 is 650960211.

It is a super-2 number, since 2×11206905600² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11206905607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9925836 + ... + 9926964.

Almost surely, 2^11206905600 is an apocalyptic number.

11206905600 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 11206905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20621180160).

11206905600 is an abundant number, since it is smaller than the sum of its proper divisors (30035454720).

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

11206905600 is a wasteful number, since it uses less digits than its factorization.

11206905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 11206905600 in words is "eleven billion, two hundred six million, nine hundred five thousand, six hundred".