20967404544 has 132 divisors (see below), whose sum is σ = 60742375044. Its totient is φ = 6966116352.

The previous prime is 20967404539. The next prime is 20967404561. The reversal of 20967404544 is 44540476902.

20967404544 is a `hidden beast` number, since 2 + 0 + 9 + 67 + 40 + 4 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10257638400 + 10709766144 = 101280^2 + 103488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20967404544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2917884 + ... + 2925060.

Almost surely, 2^20967404544 is an apocalyptic number.

20967404544 is a gapful number since it is divisible by the number (24) 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 20967404544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30371187522).

20967404544 is an abundant number, since it is smaller than the sum of its proper divisors (39774970500).

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

20967404544 is a wasteful number, since it uses less digits than its factorization.

20967404544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 20967404544 in words is "twenty billion, nine hundred sixty-seven million, four hundred four thousand, five hundred forty-four".