10601444880 has 120 divisors (see below), whose sum is σ = 38341926168. Its totient is φ = 2609584128.

The previous prime is 10601444873. The next prime is 10601444881. The reversal of 10601444880 is 8844410601.

10601444880 is a `hidden beast` number, since 1 + 0 + 601 + 4 + 4 + 48 + 8 + 0 = 666.

10601444880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 10598290704 = 1776^2 + 102948^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10601444880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10601444881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556957 + ... + 575676.

Almost surely, 2^10601444880 is an apocalyptic number.

10601444880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10601444880 is an abundant number, since it is smaller than the sum of its proper divisors (27740481288).

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

10601444880 is a wasteful number, since it uses less digits than its factorization.

10601444880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132665 (or 1132656 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

It can be divided in two parts, 1060144 and 4880, that added together give a square (1065024 = 1032²).

The spelling of 10601444880 in words is "ten billion, six hundred one million, four hundred forty-four thousand, eight hundred eighty".