11206166400 has 768 divisors, whose sum is σ = 48234412800. Its totient is φ = 2504908800.

The previous prime is 11206166393. The next prime is 11206166429. The reversal of 11206166400 is 466160211.

11206166400 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 6 + 16 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12354747 + ... + 12355653.

It is an arithmetic number, because the mean of its divisors is an integer number (62805225).

Almost surely, 2^11206166400 is an apocalyptic number.

11206166400 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 11206166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24117206400).

11206166400 is an abundant number, since it is smaller than the sum of its proper divisors (37028246400).

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

11206166400 is a wasteful number, since it uses less digits than its factorization.

11206166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 941 counting only the distinct ones).

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

The spelling of 11206166400 in words is "eleven billion, two hundred six million, one hundred sixty-six thousand, four hundred".