11084214960 has 400 divisors, whose sum is σ = 47383592256. Its totient is φ = 2338523136.

The previous prime is 11084214959. The next prime is 11084214971. The reversal of 11084214960 is 6941248011.

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, 580282 + ... + 599078.

Almost surely, 2^11084214960 is an apocalyptic number.

11084214960 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 11084214960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23691796128).

11084214960 is an abundant number, since it is smaller than the sum of its proper divisors (36299377296).

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

11084214960 is a wasteful number, since it uses less digits than its factorization.

11084214960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18842 (or 18827 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11084214960 in words is "eleven billion, eighty-four million, two hundred fourteen thousand, nine hundred sixty".