11205919998216 has 384 divisors, whose sum is σ = 33320152320000. Its totient is φ = 3518451198720.

The previous prime is 11205919998157. The next prime is 11205919998233. The reversal of 11205919998216 is 61289991950211.

11205919998216 is a `hidden beast` number, since 1 + 1 + 20 + 591 + 9 + 9 + 9 + 8 + 2 + 16 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7096845315 + ... + 7096846893.

It is an arithmetic number, because the mean of its divisors is an integer number (86771230000).

Almost surely, 2^{11205919998216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11205919998216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16660076160000).

11205919998216 is an abundant number, since it is smaller than the sum of its proper divisors (22114232321784).

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

11205919998216 is a wasteful number, since it uses less digits than its factorization.

11205919998216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 63.

The spelling of 11205919998216 in words is "eleven trillion, two hundred five billion, nine hundred nineteen million, nine hundred ninety-eight thousand, two hundred sixteen".