20289245760 has 1344 divisors, whose sum is σ = 91293696000. Its totient is φ = 4113027072.

The previous prime is 20289245747. The next prime is 20289245761. The reversal of 20289245760 is 6754298202.

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 not an unprimeable number, because it can be changed into a prime (20289245761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 431686057 + ... + 431686103.

Almost surely, 2^20289245760 is an apocalyptic number.

20289245760 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 20289245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45646848000).

20289245760 is an abundant number, since it is smaller than the sum of its proper divisors (71004450240).

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

20289245760 is a wasteful number, since it uses less digits than its factorization.

20289245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20289245760 in words is "twenty billion, two hundred eighty-nine million, two hundred forty-five thousand, seven hundred sixty".