11535114240 has 672 divisors, whose sum is σ = 45083394720. Its totient is φ = 2708471808.

The previous prime is 11535114133. The next prime is 11535114247. The reversal of 11535114240 is 4241153511.

11535114240 is a `hidden beast` number, since 11 + 535 + 114 + 2 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11535114247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138977239 + ... + 138977321.

It is an arithmetic number, because the mean of its divisors is an integer number (67088385).

Almost surely, 2^11535114240 is an apocalyptic number.

11535114240 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 11535114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22541697360).

11535114240 is an abundant number, since it is smaller than the sum of its proper divisors (33548280480).

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

11535114240 is a wasteful number, since it uses less digits than its factorization.

11535114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11535114240 its reverse (4241153511), we get a palindrome (15776267751).

The spelling of 11535114240 in words is "eleven billion, five hundred thirty-five million, one hundred fourteen thousand, two hundred forty".