11535806940800 has 96 divisors (see below), whose sum is σ = 28758489761100. Its totient is φ = 4571989401600.

The previous prime is 11535806940781. The next prime is 11535806940809. The reversal of 11535806940800 is 804960853511.

11535806940800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6582262310464 + 4953544630336 = 2565592^2 + 2225656^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (11535806940809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16187621 + ... + 16885220.

Almost surely, 2^{11535806940800} is an apocalyptic number.

11535806940800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11535806940800 is an abundant number, since it is smaller than the sum of its proper divisors (17222682820300).

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

11535806940800 is a wasteful number, since it uses less digits than its factorization.

11535806940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33072974 (or 33072957 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The spelling of 11535806940800 in words is "eleven trillion, five hundred thirty-five billion, eight hundred six million, nine hundred forty thousand, eight hundred".