11475601140 has 96 divisors (see below), whose sum is σ = 33616477440. Its totient is φ = 2919448576.

The previous prime is 11475601139. The next prime is 11475601141. The reversal of 11475601140 is 4110657411.

It is an interprime number because it is at equal distance from previous prime (11475601139) and next prime (11475601141).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11475601098 and 11475601107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11475601141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526132 + ... + 547508.

It is an arithmetic number, because the mean of its divisors is an integer number (350171640).

Almost surely, 2^11475601140 is an apocalyptic number.

11475601140 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 11475601140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808238720).

11475601140 is an abundant number, since it is smaller than the sum of its proper divisors (22140876300).

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

11475601140 is a wasteful number, since it uses less digits than its factorization.

11475601140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21801 (or 21799 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 11475601140 in words is "eleven billion, four hundred seventy-five million, six hundred one thousand, one hundred forty".