11095006752 has 336 divisors, whose sum is σ = 35146184472. Its totient is φ = 3433881600.

The previous prime is 11095006729. The next prime is 11095006753. The reversal of 11095006752 is 25760059011.

It can be written as a sum of positive squares in 4 ways, for example, as 10906878096 + 188128656 = 104436^2 + 13716^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11095006753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 40054038 + ... + 40054314.

Almost surely, 2^11095006752 is an apocalyptic number.

11095006752 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 11095006752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17573092236).

11095006752 is an abundant number, since it is smaller than the sum of its proper divisors (24051177720).

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

11095006752 is a wasteful number, since it uses less digits than its factorization.

11095006752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 11095006752 in words is "eleven billion, ninety-five million, six thousand, seven hundred fifty-two".