11260166400 has 1080 divisors, whose sum is σ = 49682445120. Its totient is φ = 2461777920.

The previous prime is 11260166369. The next prime is 11260166417. The reversal of 11260166400 is 466106211.

11260166400 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 0 + 16 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105235147 + ... + 105235253.

It is an arithmetic number, because the mean of its divisors is an integer number (46002264).

Almost surely, 2^11260166400 is an apocalyptic number.

11260166400 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 11260166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24841222560).

11260166400 is an abundant number, since it is smaller than the sum of its proper divisors (38422278720).

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

11260166400 is a wasteful number, since it uses less digits than its factorization.

11260166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

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

The spelling of 11260166400 in words is "eleven billion, two hundred sixty million, one hundred sixty-six thousand, four hundred".