20944344960 has 1344 divisors, whose sum is σ = 96083094240. Its totient is φ = 4269957120.

The previous prime is 20944344943. The next prime is 20944344973. The reversal of 20944344960 is 6944344902.

20944344960 is a `hidden beast` number, since 20 + 94 + 43 + 449 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 395176294 + ... + 395176346.

Almost surely, 2^20944344960 is an apocalyptic number.

20944344960 is a gapful number since it is divisible by the number (20) 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 20944344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48041547120).

20944344960 is an abundant number, since it is smaller than the sum of its proper divisors (75138749280).

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

20944344960 is an equidigital number, since it uses as much as digits as its factorization.

20944344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 20944344960 in words is "twenty billion, nine hundred forty-four million, three hundred forty-four thousand, nine hundred sixty".