11535000000 has 224 divisors, whose sum is σ = 38199120960. Its totient is φ = 3072000000.

The previous prime is 11534999989. The next prime is 11535000017. The reversal of 11535000000 is 53511.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14999616 + ... + 15000384.

It is an arithmetic number, because the mean of its divisors is an integer number (170531790).

Almost surely, 2^11535000000 is an apocalyptic number.

11535000000 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 11535000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19099560480).

11535000000 is an abundant number, since it is smaller than the sum of its proper divisors (26664120960).

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

11535000000 is an frugal number, since it uses more digits than its factorization.

11535000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

Adding to 11535000000 its reverse (53511), we get a palindrome (11535053511).

The spelling of 11535000000 in words is "eleven billion, five hundred thirty-five million", and thus it is an aban number.