11286072090000 has 400 divisors, whose sum is σ = 40723614771840. Its totient is φ = 2991585600000.

The previous prime is 11286072089989. The next prime is 11286072090017. The reversal of 11286072090000 is 9027068211.

11286072090000 is a `hidden beast` number, since 1 + 1 + 28 + 607 + 20 + 9 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44964850 + ... + 45215150.

Almost surely, 2^{11286072090000} is an apocalyptic number.

11286072090000 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 11286072090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20361807385920).

11286072090000 is an abundant number, since it is smaller than the sum of its proper divisors (29437542681840).

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

11286072090000 is a wasteful number, since it uses less digits than its factorization.

11286072090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250505 (or 250478 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11286072090000 in words is "eleven trillion, two hundred eighty-six billion, seventy-two million, ninety thousand".