11117318720400 has 720 divisors, whose sum is σ = 40734631025088. Its totient is φ = 2911334400000.

The previous prime is 11117318720383. The next prime is 11117318720407. The reversal of 11117318720400 is 402781371111.

11117318720400 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 73 + 187 + 2 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (11117318720407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1235115900 + ... + 1235124900.

Almost surely, 2^{11117318720400} is an apocalyptic number.

11117318720400 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 11117318720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20367315512544).

11117318720400 is an abundant number, since it is smaller than the sum of its proper divisors (29617312304688).

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

11117318720400 is a wasteful number, since it uses less digits than its factorization.

11117318720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9262 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 11117318720400 in words is "eleven trillion, one hundred seventeen billion, three hundred eighteen million, seven hundred twenty thousand, four hundred".