11875870944 has 192 divisors, whose sum is σ = 39649075200. Its totient is φ = 3387723264.

The previous prime is 11875870943. The next prime is 11875870967. The reversal of 11875870944 is 44907857811.

11875870944 is a `hidden beast` number, since 1 + 18 + 7 + 587 + 0 + 9 + 44 = 666.

11875870944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11875870944² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11875870943) 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 31 ways as a sum of consecutive naturals, for example, 5302977 + ... + 5305215.

It is an arithmetic number, because the mean of its divisors is an integer number (206505600).

Almost surely, 2^11875870944 is an apocalyptic number.

11875870944 is a gapful number since it is divisible by the number (14) 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 11875870944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19824537600).

11875870944 is an abundant number, since it is smaller than the sum of its proper divisors (27773204256).

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

11875870944 is a wasteful number, since it uses less digits than its factorization.

11875870944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 11875870944 in words is "eleven billion, eight hundred seventy-five million, eight hundred seventy thousand, nine hundred forty-four".