11533207140 has 768 divisors, whose sum is σ = 46675722240. Its totient is φ = 2299207680.

The previous prime is 11533207129. The next prime is 11533207141. The reversal of 11533207140 is 4170233511.

11533207140 is a `hidden beast` number, since 1 + 1 + 533 + 20 + 71 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11533207141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 102063724 + ... + 102063836.

It is an arithmetic number, because the mean of its divisors is an integer number (60775680).

Almost surely, 2^11533207140 is an apocalyptic number.

11533207140 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 11533207140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23337861120).

11533207140 is an abundant number, since it is smaller than the sum of its proper divisors (35142515100).

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

11533207140 is a wasteful number, since it uses less digits than its factorization.

11533207140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 11533207140 in words is "eleven billion, five hundred thirty-three million, two hundred seven thousand, one hundred forty".