11009319552 has 384 divisors, whose sum is σ = 40828233600. Its totient is φ = 2858803200.

The previous prime is 11009319547. The next prime is 11009319577. The reversal of 11009319552 is 25591390011.

11009319552 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 93 + 19 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×11009319552³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2925352 + ... + 2929112.

It is an arithmetic number, because the mean of its divisors is an integer number (106323525).

Almost surely, 2^11009319552 is an apocalyptic number.

11009319552 is a gapful number since it is divisible by the number (12) 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 11009319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20414116800).

11009319552 is an abundant number, since it is smaller than the sum of its proper divisors (29818914048).

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

11009319552 is a wasteful number, since it uses less digits than its factorization.

11009319552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 11009319552 in words is "eleven billion, nine million, three hundred nineteen thousand, five hundred fifty-two".