11535002000 has 40 divisors (see below), whose sum is σ = 27891639672. Its totient is φ = 4614000000.

The previous prime is 11535001987. The next prime is 11535002047. The reversal of 11535002000 is 20053511.

It can be written as a sum of positive squares in 4 ways, for example, as 1493358736 + 10041643264 = 38644^2 + 100208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11535002000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11535002000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2881751 + ... + 2885750.

Almost surely, 2^11535002000 is an apocalyptic number.

11535002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11535002000 is an abundant number, since it is smaller than the sum of its proper divisors (16356637672).

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

11535002000 is an equidigital number, since it uses as much as digits as its factorization.

11535002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767524 (or 5767508 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

Adding to 11535002000 its reverse (20053511), we get a palindrome (11555055511).

The spelling of 11535002000 in words is "eleven billion, five hundred thirty-five million, two thousand".