10875887175321 has 63 divisors (see below), whose sum is σ = 18969723162351. Its totient is φ = 6214436502624.

The previous prime is 10875887175311. The next prime is 10875887175323. The reversal of 10875887175321 is 12357178857801.

The square root of 10875887175321 is 3297861.

It is a perfect power (a square), and thus also a powerful number.

10875887175321 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 5 + 8 + 87 + 17 + 532 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10813646904921 + 62240270400 = 3288411^2 + 249480^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 10875887175321 - 2³³ = 10867297240729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10875887175323) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 623287005 + ... + 623304453.

Almost surely, 2^{10875887175321} is an apocalyptic number.

10875887175321 is the 3297861-st square number.

10875887175321 is the 1648931-st centered octagonal number.

It is an amenable number.

10875887175321 is a deficient number, since it is larger than the sum of its proper divisors (8093835987030).

10875887175321 is an frugal number, since it uses more digits than its factorization.

10875887175321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34930 (or 17459 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 63.

The spelling of 10875887175321 in words is "ten trillion, eight hundred seventy-five billion, eight hundred eighty-seven million, one hundred seventy-five thousand, three hundred twenty-one".