11089428480 has 540 divisors, whose sum is σ = 42094454220. Its totient is φ = 2699034624.

The previous prime is 11089428437. The next prime is 11089428499. The reversal of 11089428480 is 8482498011.

It can be written as a sum of positive squares in 6 ways, for example, as 3822206976 + 7267221504 = 61824^2 + 85248^2 .

It is a super-3 number, since 3×11089428480³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124600276 + ... + 124600364.

It is an arithmetic number, because the mean of its divisors is an integer number (77952693).

Almost surely, 2^11089428480 is an apocalyptic number.

11089428480 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 11089428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047227110).

11089428480 is an abundant number, since it is smaller than the sum of its proper divisors (31005025740).

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

11089428480 is an equidigital number, since it uses as much as digits as its factorization.

11089428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

It can be divided in two parts, 11089 and 428480, that added together give a square (439569 = 663²).

The spelling of 11089428480 in words is "eleven billion, eighty-nine million, four hundred twenty-eight thousand, four hundred eighty".