20252144000000 has 616 divisors, whose sum is σ = 57617194990464. Its totient is φ = 7042816000000.

The previous prime is 20252143999999. The next prime is 20252144000009. The reversal of 20252144000000 is 44125202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20252144000009) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 4047997499 + ... + 4048002501.

Almost surely, 2^{20252144000000} is an apocalyptic number.

20252144000000 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 20252144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28808597495232).

20252144000000 is an abundant number, since it is smaller than the sum of its proper divisors (37365050990464).

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

20252144000000 is an frugal number, since it uses more digits than its factorization.

20252144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 20252144000000 its reverse (44125202), we get a palindrome (20252188125202).

The spelling of 20252144000000 in words is "twenty trillion, two hundred fifty-two billion, one hundred forty-four million", and thus it is an aban number.