10890893856 has 96 divisors (see below), whose sum is σ = 29619475200. Its totient is φ = 3499776000.

The previous prime is 10890893851. The next prime is 10890893857. The reversal of 10890893856 is 65839809801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10890893856² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10890893796 and 10890893805.

It is not an unprimeable number, because it can be changed into a prime (10890893851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2088180 + ... + 2093388.

It is an arithmetic number, because the mean of its divisors is an integer number (308536200).

Almost surely, 2^10890893856 is an apocalyptic number.

10890893856 is a gapful number since it is divisible by the number (16) 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 10890893856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809737600).

10890893856 is an abundant number, since it is smaller than the sum of its proper divisors (18728581344).

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

10890893856 is a wasteful number, since it uses less digits than its factorization.

10890893856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 10890893856 in words is "ten billion, eight hundred ninety million, eight hundred ninety-three thousand, eight hundred fifty-six".