11009688480 has 432 divisors, whose sum is σ = 45331060320. Its totient is φ = 2516064768.

The previous prime is 11009688479. The next prime is 11009688497. The reversal of 11009688480 is 8488690011.

11009688480 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 96 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 1902231 + ... + 1908009.

It is an arithmetic number, because the mean of its divisors is an integer number (104933010).

Almost surely, 2^11009688480 is an apocalyptic number.

11009688480 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 11009688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22665530160).

11009688480 is an abundant number, since it is smaller than the sum of its proper divisors (34321371840).

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

11009688480 is an equidigital number, since it uses as much as digits as its factorization.

11009688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5823 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11009688480 in words is "eleven billion, nine million, six hundred eighty-eight thousand, four hundred eighty".