11221689600 has 648 divisors, whose sum is σ = 44481528000. Its totient is φ = 2676326400.

The previous prime is 11221689553. The next prime is 11221689631. The reversal of 11221689600 is 698612211.

11221689600 is a `hidden beast` number, since 11 + 22 + 16 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56390301 + ... + 56390499.

Almost surely, 2^11221689600 is an apocalyptic number.

11221689600 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 11221689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22240764000).

11221689600 is an abundant number, since it is smaller than the sum of its proper divisors (33259838400).

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

11221689600 is a wasteful number, since it uses less digits than its factorization.

11221689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11221689600 in words is "eleven billion, two hundred twenty-one million, six hundred eighty-nine thousand, six hundred".