20263265280 has 264 divisors, whose sum is σ = 71545057272. Its totient is φ = 5300944896.

The previous prime is 20263265279. The next prime is 20263265287. The reversal of 20263265280 is 8256236202.

20263265280 is a `hidden beast` number, since 202 + 6 + 326 + 52 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10121969664 + 10141295616 = 100608^2 + 100704^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20263265287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2438092 + ... + 2446388.

Almost surely, 2^20263265280 is an apocalyptic number.

20263265280 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 20263265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35772528636).

20263265280 is an abundant number, since it is smaller than the sum of its proper divisors (51281791992).

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

20263265280 is a wasteful number, since it uses less digits than its factorization.

20263265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8381 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20263265280 in words is "twenty billion, two hundred sixty-three million, two hundred sixty-five thousand, two hundred eighty".