11021110009984 has 128 divisors (see below), whose sum is σ = 22232726501760. Its totient is φ = 5441694720000.

The previous prime is 11021110009969. The next prime is 11021110010087. The reversal of 11021110009984 is 48990001112011.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2059632909 + ... + 2059638259.

It is an arithmetic number, because the mean of its divisors is an integer number (173693175795).

Almost surely, 2^{11021110009984} 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 11021110009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11116363250880).

11021110009984 is an abundant number, since it is smaller than the sum of its proper divisors (11211616491776).

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

11021110009984 is a wasteful number, since it uses less digits than its factorization.

11021110009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 37.

The spelling of 11021110009984 in words is "eleven trillion, twenty-one billion, one hundred ten million, nine thousand, nine hundred eighty-four".