11088430320 has 480 divisors, whose sum is σ = 39564967680. Its totient is φ = 2564812800.

The previous prime is 11088430291. The next prime is 11088430321. The reversal of 11088430320 is 2303488011.

It is a super-2 number, since 2×11088430320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11088430321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79772811 + ... + 79772949.

It is an arithmetic number, because the mean of its divisors is an integer number (82427016).

Almost surely, 2^11088430320 is an apocalyptic number.

11088430320 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 11088430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19782483840).

11088430320 is an abundant number, since it is smaller than the sum of its proper divisors (28476537360).

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

11088430320 is a wasteful number, since it uses less digits than its factorization.

11088430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 11088430320 in words is "eleven billion, eighty-eight million, four hundred thirty thousand, three hundred twenty".