11153894400 has 792 divisors, whose sum is σ = 45457548864. Its totient is φ = 2687385600.

The previous prime is 11153894383. The next prime is 11153894443. The reversal of 11153894400 is 449835111.

11153894400 is a `hidden beast` number, since 11 + 153 + 8 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68428719 + ... + 68428881.

Almost surely, 2^11153894400 is an apocalyptic number.

11153894400 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 11153894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22728774432).

11153894400 is an abundant number, since it is smaller than the sum of its proper divisors (34303654464).

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

11153894400 is a wasteful number, since it uses less digits than its factorization.

11153894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11153894400 in words is "eleven billion, one hundred fifty-three million, eight hundred ninety-four thousand, four hundred".