20263289248800 has 1008 divisors, whose sum is σ = 79980347680128. Its totient is φ = 4981181184000.

The previous prime is 20263289248793. The next prime is 20263289248817. The reversal of 20263289248800 is 884298236202.

20263289248800 is a `hidden beast` number, since 2 + 0 + 263 + 289 + 24 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 7968260329 + ... + 7968262871.

It is an arithmetic number, because the mean of its divisors is an integer number (79345583016).

Almost surely, 2^{20263289248800} is an apocalyptic number.

20263289248800 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 20263289248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39990173840064).

20263289248800 is an abundant number, since it is smaller than the sum of its proper divisors (59717058431328).

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

20263289248800 is a wasteful number, since it uses less digits than its factorization.

20263289248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 20263289248800 in words is "twenty trillion, two hundred sixty-three billion, two hundred eighty-nine million, two hundred forty-eight thousand, eight hundred".