11201019984 has 320 divisors, whose sum is σ = 40577402880. Its totient is φ = 2873594880.

The previous prime is 11201019911. The next prime is 11201019997. The reversal of 11201019984 is 48991010211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2758884 + ... + 2762940.

It is an arithmetic number, because the mean of its divisors is an integer number (126804384).

Almost surely, 2^11201019984 is an apocalyptic number.

11201019984 is a gapful number since it is divisible by the number (14) 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 11201019984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20288701440).

11201019984 is an abundant number, since it is smaller than the sum of its proper divisors (29376382896).

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

11201019984 is a wasteful number, since it uses less digits than its factorization.

11201019984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 11201019984 in words is "eleven billion, two hundred one million, nineteen thousand, nine hundred eighty-four".