11305188109056 has 288 divisors, whose sum is σ = 30810656862720. Its totient is φ = 3679145164800.

The previous prime is 11305188109049. The next prime is 11305188109057. The reversal of 11305188109056 is 65090188150311.

It is a super-2 number, since 2×11305188109056² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11305188108996 and 11305188109014.

It is not an unprimeable number, because it can be changed into a prime (11305188109057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2409971671 + ... + 2409976361.

It is an arithmetic number, because the mean of its divisors is an integer number (106981447440).

Almost surely, 2^{11305188109056} is an apocalyptic number.

11305188109056 is a gapful number since it is divisible by the number (16) 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 11305188109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405328431360).

11305188109056 is an abundant number, since it is smaller than the sum of its proper divisors (19505468753664).

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

11305188109056 is a wasteful number, since it uses less digits than its factorization.

11305188109056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 48.

The spelling of 11305188109056 in words is "eleven trillion, three hundred five billion, one hundred eighty-eight million, one hundred nine thousand, fifty-six".