20265789180960 has 240 divisors, whose sum is σ = 71537814749016. Its totient is φ = 5402966188032.

The previous prime is 20265789180883. The next prime is 20265789180961. The reversal of 20265789180960 is 6908198756202.

20265789180960 is a `hidden beast` number, since 20 + 26 + 578 + 9 + 18 + 0 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12218967678096 + 8046821502864 = 3495564^2 + 2836692^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×20265789180960² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20265789180961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56807304 + ... + 57162936.

Almost surely, 2^{20265789180960} is an apocalyptic number.

20265789180960 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 20265789180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35768907374508).

20265789180960 is an abundant number, since it is smaller than the sum of its proper divisors (51272025568056).

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

20265789180960 is a wasteful number, since it uses less digits than its factorization.

20265789180960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360057 (or 360040 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 20265789180960 in words is "twenty trillion, two hundred sixty-five billion, seven hundred eighty-nine million, one hundred eighty thousand, nine hundred sixty".