10875191286120 has 256 divisors, whose sum is σ = 37473369638400. Its totient is φ = 2473305477120.

The previous prime is 10875191286119. The next prime is 10875191286203. The reversal of 10875191286120 is 2168219157801.

It is a happy number.

10875191286120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311798122 + ... + 311832998.

It is an arithmetic number, because the mean of its divisors is an integer number (146380350150).

Almost surely, 2^{10875191286120} is an apocalyptic number.

10875191286120 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 10875191286120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18736684819200).

10875191286120 is an abundant number, since it is smaller than the sum of its proper divisors (26598178352280).

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

10875191286120 is a wasteful number, since it uses less digits than its factorization.

10875191286120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36748 (or 36744 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 51.

The spelling of 10875191286120 in words is "ten trillion, eight hundred seventy-five billion, one hundred ninety-one million, two hundred eighty-six thousand, one hundred twenty".