20765103928800 has 2304 divisors, whose sum is σ = 90390214656000. Its totient is φ = 4096800153600.

The previous prime is 20765103928769. The next prime is 20765103928813. The reversal of 20765103928800 is 882930156702.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 37280258122 + ... + 37280258678.

It is an arithmetic number, because the mean of its divisors is an integer number (39231864000).

Almost surely, 2^{20765103928800} is an apocalyptic number.

20765103928800 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 20765103928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45195107328000).

20765103928800 is an abundant number, since it is smaller than the sum of its proper divisors (69625110727200).

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

20765103928800 is a wasteful number, since it uses less digits than its factorization.

20765103928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 20765103928800 in words is "twenty trillion, seven hundred sixty-five billion, one hundred three million, nine hundred twenty-eight thousand, eight hundred".