2533943788800 has 216 divisors, whose sum is σ = 8365629565440. Its totient is φ = 675468902400.

The previous prime is 2533943788799. The next prime is 2533943788819. The reversal of 2533943788800 is 88873493352.

It is a super-2 number, since 2×2533943788800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 23 ways as a sum of consecutive naturals, for example, 55253880 + ... + 55299720.

Almost surely, 2^{2533943788800} is an apocalyptic number.

2533943788800 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 2533943788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182814782720).

2533943788800 is an abundant number, since it is smaller than the sum of its proper divisors (5831685776640).

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

2533943788800 is a wasteful number, since it uses less digits than its factorization.

2533943788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48749 (or 48730 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 2533943788800 in words is "two trillion, five hundred thirty-three billion, nine hundred forty-three million, seven hundred eighty-eight thousand, eight hundred".