11535140000 has 60 divisors (see below), whose sum is σ = 28378223874. Its totient is φ = 4614048000.

The previous prime is 11535139969. The next prime is 11535140009. The reversal of 11535140000 is 4153511.

It can be written as a sum of positive squares in 5 ways, for example, as 2341398544 + 9193741456 = 48388^2 + 95884^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11535140009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 268379 + ... + 308378.

Almost surely, 2^11535140000 is an apocalyptic number.

11535140000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11535140000 is an abundant number, since it is smaller than the sum of its proper divisors (16843083874).

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

11535140000 is an frugal number, since it uses more digits than its factorization.

11535140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576787 (or 576764 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 11535140000 its reverse (4153511), we get a palindrome (11539293511).

The spelling of 11535140000 in words is "eleven billion, five hundred thirty-five million, one hundred forty thousand".