11088636480 has 448 divisors, whose sum is σ = 40217506560. Its totient is φ = 2875392000.

The previous prime is 11088636439. The next prime is 11088636499. The reversal of 11088636480 is 8463688011.

It is a happy number.

11088636480 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 8 + 636 + 4 + 8 + 0 = 666.

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

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, 84646015 + ... + 84646145.

It is an arithmetic number, because the mean of its divisors is an integer number (89771220).

Almost surely, 2^11088636480 is an apocalyptic number.

11088636480 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 11088636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108753280).

11088636480 is an abundant number, since it is smaller than the sum of its proper divisors (29128870080).

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

11088636480 is a wasteful number, since it uses less digits than its factorization.

11088636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11088636480 in words is "eleven billion, eighty-eight million, six hundred thirty-six thousand, four hundred eighty".