11166420600 has 288 divisors, whose sum is σ = 38827760400. Its totient is φ = 2874009600.

The previous prime is 11166420571. The next prime is 11166420611. The reversal of 11166420600 is 602466111.

11166420600 is a `hidden beast` number, since 1 + 1 + 16 + 6 + 42 + 0 + 600 = 666.

It is a super-2 number, since 2×11166420600² (a number of 21 digits) contains 22 as substring.

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, 6887790 + ... + 6889410.

Almost surely, 2^11166420600 is an apocalyptic number.

11166420600 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 11166420600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19413880200).

11166420600 is an abundant number, since it is smaller than the sum of its proper divisors (27661339800).

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

11166420600 is a wasteful number, since it uses less digits than its factorization.

11166420600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11166420600 its reverse (602466111), we get a palindrome (11768886711).

The spelling of 11166420600 in words is "eleven billion, one hundred sixty-six million, four hundred twenty thousand, six hundred".