11284423920000 has 1920 divisors, whose sum is σ = 51180477004800. Its totient is φ = 2317455360000.

The previous prime is 11284423919971. The next prime is 11284423920013. The reversal of 11284423920000 is 2932448211.

11284423920000 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 442 + 3 + 9 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4934158857 + ... + 4934161143.

It is an arithmetic number, because the mean of its divisors is an integer number (26656498440).

Almost surely, 2^{11284423920000} is an apocalyptic number.

11284423920000 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 11284423920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25590238502400).

11284423920000 is an abundant number, since it is smaller than the sum of its proper divisors (39896053084800).

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

11284423920000 is a wasteful number, since it uses less digits than its factorization.

11284423920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11284423920000 in words is "eleven trillion, two hundred eighty-four billion, four hundred twenty-three million, nine hundred twenty thousand".