20075896012800 has 384 divisors, whose sum is σ = 68524939480320. Its totient is φ = 5180856729600.

The previous prime is 20075896012763. The next prime is 20075896012829. The reversal of 20075896012800 is 821069857002.

It is a tau number, because it is divible by the number of its divisors (384).

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 20075896012800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76053844 + ... + 76317356.

It is an arithmetic number, because the mean of its divisors is an integer number (178450363230).

Almost surely, 2^{20075896012800} is an apocalyptic number.

20075896012800 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 20075896012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34262469740160).

20075896012800 is an abundant number, since it is smaller than the sum of its proper divisors (48449043467520).

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

20075896012800 is an equidigital number, since it uses as much as digits as its factorization.

20075896012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263587 (or 263554 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 20075896012800 in words is "twenty trillion, seventy-five billion, eight hundred ninety-six million, twelve thousand, eight hundred".