10890841312 has 144 divisors (see below), whose sum is σ = 23782574592. Its totient is φ = 4906137600.

The previous prime is 10890841307. The next prime is 10890841391. The reversal of 10890841312 is 21314809801.

It is a super-2 number, since 2×10890841312² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69368338 + ... + 69368494.

It is an arithmetic number, because the mean of its divisors is an integer number (165156768).

Almost surely, 2^10890841312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10890841312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891287296).

10890841312 is an abundant number, since it is smaller than the sum of its proper divisors (12891733280).

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

10890841312 is a wasteful number, since it uses less digits than its factorization.

10890841312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 10890841312 in words is "ten billion, eight hundred ninety million, eight hundred forty-one thousand, three hundred twelve".