10890217801089 has 45 divisors (see below), whose sum is σ = 17305142168145. Its totient is φ = 6599405993400.

The previous prime is 10890217801049. The next prime is 10890217801123. The reversal of 10890217801089 is 98010871209801.

The square root of 10890217801089 is 3300033.

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

It is not a de Polignac number, because 10890217801089 - 2⁹ = 10890217800577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10890217801019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1197907434 + ... + 1197916524.

Almost surely, 2^{10890217801089} is an apocalyptic number.

10890217801089 is the 3300033-rd square number.

10890217801089 is the 1650017-th centered octagonal number.

It is an amenable number.

10890217801089 is a deficient number, since it is larger than the sum of its proper divisors (6414924367056).

10890217801089 is an frugal number, since it uses more digits than its factorization.

10890217801089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18232 (or 9105 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 10890217801089 in words is "ten trillion, eight hundred ninety billion, two hundred seventeen million, eight hundred one thousand, eighty-nine".