11093389440 has 512 divisors, whose sum is σ = 44670320640. Its totient is φ = 2281635840.

The previous prime is 11093389427. The next prime is 11093389451. The reversal of 11093389440 is 4498339011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11093389392 and 11093389401.

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, 5253985 + ... + 5256095.

It is an arithmetic number, because the mean of its divisors is an integer number (87246720).

Almost surely, 2^11093389440 is an apocalyptic number.

11093389440 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 11093389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22335160320).

11093389440 is an abundant number, since it is smaller than the sum of its proper divisors (33576931200).

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

11093389440 is a wasteful number, since it uses less digits than its factorization.

11093389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 11093389440 in words is "eleven billion, ninety-three million, three hundred eighty-nine thousand, four hundred forty".