11035152000000 has 924 divisors, whose sum is σ = 40134279634020. Its totient is φ = 2920243200000.

The previous prime is 11035151999959. The next prime is 11035152000017. The reversal of 11035152000000 is 25153011.

11035152000000 is a `hidden beast` number, since 110 + 35 + 1 + 520 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 10394588676096 + 640563323904 = 3224064^2 + 800352^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 28367999806 + ... + 28368000194.

Almost surely, 2^{11035152000000} is an apocalyptic number.

11035152000000 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 11035152000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20067139817010).

11035152000000 is an abundant number, since it is smaller than the sum of its proper divisors (29099127634020).

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

11035152000000 is an frugal number, since it uses more digits than its factorization.

11035152000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 11035152000000 its reverse (25153011), we get a palindrome (11035177153011).

The spelling of 11035152000000 in words is "eleven trillion, thirty-five billion, one hundred fifty-two million", and thus it is an aban number.