11285868216000 has 448 divisors, whose sum is σ = 44831214904320. Its totient is φ = 2443856486400.

The previous prime is 11285868215911. The next prime is 11285868216011. The reversal of 11285868216000 is 61286858211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1424164 + ... + 4959836.

Almost surely, 2^{11285868216000} is an apocalyptic number.

11285868216000 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 11285868216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22415607452160).

11285868216000 is an abundant number, since it is smaller than the sum of its proper divisors (33545346688320).

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

11285868216000 is a wasteful number, since it uses less digits than its factorization.

11285868216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535729 (or 3535709 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 11285868216000 in words is "eleven trillion, two hundred eighty-five billion, eight hundred sixty-eight million, two hundred sixteen thousand".