20712254818800 has 240 divisors, whose sum is σ = 67975471791360. Its totient is φ = 5387843328000.

The previous prime is 20712254818793. The next prime is 20712254818811. The reversal of 20712254818800 is 881845221702.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20712254818800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445679565 + ... + 445726035.

It is an arithmetic number, because the mean of its divisors is an integer number (283231132464).

Almost surely, 2^{20712254818800} is an apocalyptic number.

20712254818800 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 20712254818800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33987735895680).

20712254818800 is an abundant number, since it is smaller than the sum of its proper divisors (47263216972560).

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

20712254818800 is a wasteful number, since it uses less digits than its factorization.

20712254818800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55592 (or 55581 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 20712254818800 in words is "twenty trillion, seven hundred twelve billion, two hundred fifty-four million, eight hundred eighteen thousand, eight hundred".