11098983788880 has 1280 divisors, whose sum is σ = 41883079311360. Its totient is φ = 2404314316800.

The previous prime is 11098983788873. The next prime is 11098983788909. The reversal of 11098983788880 is 8888738989011.

It is a super-2 number, since 2×11098983788880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 11098983788796 and 11098983788805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20515681410 + ... + 20515681950.

It is an arithmetic number, because the mean of its divisors is an integer number (32721155712).

Almost surely, 2^{11098983788880} is an apocalyptic number.

11098983788880 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 11098983788880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20941539655680).

11098983788880 is an abundant number, since it is smaller than the sum of its proper divisors (30784095522480).

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

11098983788880 is a wasteful number, since it uses less digits than its factorization.

11098983788880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 78.

The spelling of 11098983788880 in words is "eleven trillion, ninety-eight billion, nine hundred eighty-three million, seven hundred eighty-eight thousand, eight hundred eighty".