11288574720000 has 720 divisors, whose sum is σ = 42251405316120. Its totient is φ = 3010203648000.

The previous prime is 11288574719977. The next prime is 11288574720019. The reversal of 11288574720000 is 2747588211.

11288574720000 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 8 + 574 + 72 + 0 + 0 + 0 + 0 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 311021854 + ... + 311058146.

Almost surely, 2^{11288574720000} is an apocalyptic number.

11288574720000 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 11288574720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21125702658060).

11288574720000 is an abundant number, since it is smaller than the sum of its proper divisors (30962830596120).

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

11288574720000 is an frugal number, since it uses more digits than its factorization.

11288574720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36350 (or 36303 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 11288574720000 in words is "eleven trillion, two hundred eighty-eight billion, five hundred seventy-four million, seven hundred twenty thousand".