10875315072 has 288 divisors, whose sum is σ = 32009797080. Its totient is φ = 3269640192.

The previous prime is 10875315013. The next prime is 10875315083. The reversal of 10875315072 is 27051357801.

It is a self number, because there is not a number n which added to its sum of digits gives 10875315072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205194598 + ... + 205194650.

Almost surely, 2^10875315072 is an apocalyptic number.

10875315072 is a gapful number since it is divisible by the number (12) 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 10875315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16004898540).

10875315072 is an abundant number, since it is smaller than the sum of its proper divisors (21134482008).

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

10875315072 is an equidigital number, since it uses as much as digits as its factorization.

10875315072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 10875315072 in words is "ten billion, eight hundred seventy-five million, three hundred fifteen thousand, seventy-two".