10975875840 has 180 divisors, whose sum is σ = 39274061904. Its totient is φ = 2926872576.

The previous prime is 10975875797. The next prime is 10975875847. The reversal of 10975875840 is 4857857901.

10975875840 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 58 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (10975875847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50749 + ... + 156611.

Almost surely, 2^10975875840 is an apocalyptic number.

10975875840 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 10975875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19637030952).

10975875840 is an abundant number, since it is smaller than the sum of its proper divisors (28298186064).

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

10975875840 is an equidigital number, since it uses as much as digits as its factorization.

10975875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105896 (or 105873 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 10975875840 in words is "ten billion, nine hundred seventy-five million, eight hundred seventy-five thousand, eight hundred forty".