11575643040 has 768 divisors, whose sum is σ = 46197043200. Its totient is φ = 2687385600.

The previous prime is 11575643039. The next prime is 11575643041. The reversal of 11575643040 is 4034657511.

11575643040 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 5 + 643 + 0 + 4 + 0 = 666.

11575643040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11575643039) and next prime (11575643041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11575642986 and 11575643004.

It is not an unprimeable number, because it can be changed into a prime (11575643041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106198506 + ... + 106198614.

It is an arithmetic number, because the mean of its divisors is an integer number (60152400).

Almost surely, 2^11575643040 is an apocalyptic number.

11575643040 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 11575643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23098521600).

11575643040 is an abundant number, since it is smaller than the sum of its proper divisors (34621400160).

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

11575643040 is a wasteful number, since it uses less digits than its factorization.

11575643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 11575643040 in words is "eleven billion, five hundred seventy-five million, six hundred forty-three thousand, forty".