20369244960 has 480 divisors, whose sum is σ = 77454558720. Its totient is φ = 5022425088.

The previous prime is 20369244949. The next prime is 20369244983. The reversal of 20369244960 is 6944296302.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×20369244960² (a number of 21 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 12998097 + ... + 12999663.

It is an arithmetic number, because the mean of its divisors is an integer number (161363664).

Almost surely, 2^20369244960 is an apocalyptic number.

20369244960 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 20369244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38727279360).

20369244960 is an abundant number, since it is smaller than the sum of its proper divisors (57085313760).

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

20369244960 is a wasteful number, since it uses less digits than its factorization.

20369244960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 20369244960 in words is "twenty billion, three hundred sixty-nine million, two hundred forty-four thousand, nine hundred sixty".