2755816275200 has 216 divisors, whose sum is σ = 7052589605376. Its totient is φ = 1065028608000.

The previous prime is 2755816275181. The next prime is 2755816275203. The reversal of 2755816275200 is 25726185572.

It is a super-3 number, since 3×2755816275200³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755816275203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125179394 + ... + 125201406.

Almost surely, 2^{2755816275200} is an apocalyptic number.

2755816275200 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 2755816275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526294802688).

2755816275200 is an abundant number, since it is smaller than the sum of its proper divisors (4296773330176).

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

2755816275200 is a wasteful number, since it uses less digits than its factorization.

2755816275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22701 (or 22682 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 50.

The spelling of 2755816275200 in words is "two trillion, seven hundred fifty-five billion, eight hundred sixteen million, two hundred seventy-five thousand, two hundred".