11016584880 has 320 divisors, whose sum is σ = 40060769280. Its totient is φ = 2452488192.

The previous prime is 11016584863. The next prime is 11016584899. The reversal of 11016584880 is 8848561011.

It is a super-2 number, since 2×11016584880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 10917816 + ... + 10918824.

It is an arithmetic number, because the mean of its divisors is an integer number (125189904).

Almost surely, 2^11016584880 is an apocalyptic number.

11016584880 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 11016584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030384640).

11016584880 is an abundant number, since it is smaller than the sum of its proper divisors (29044184400).

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

11016584880 is a wasteful number, since it uses less digits than its factorization.

11016584880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The spelling of 11016584880 in words is "eleven billion, sixteen million, five hundred eighty-four thousand, eight hundred eighty".