20243280960 has 672 divisors, whose sum is σ = 85873132800. Its totient is φ = 4273274880.

The previous prime is 20243280949. The next prime is 20243280983. The reversal of 20243280960 is 6908234202.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15703996 + ... + 15705284.

It is an arithmetic number, because the mean of its divisors is an integer number (127787400).

Almost surely, 2^20243280960 is an apocalyptic number.

20243280960 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 20243280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42936566400).

20243280960 is an abundant number, since it is smaller than the sum of its proper divisors (65629851840).

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

20243280960 is a wasteful number, since it uses less digits than its factorization.

20243280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20243280960 in words is "twenty billion, two hundred forty-three million, two hundred eighty thousand, nine hundred sixty".