3055741135200 has 1296 divisors, whose sum is σ = 12689464853520. Its totient is φ = 712291553280.

The previous prime is 3055741135193. The next prime is 3055741135207. The reversal of 3055741135200 is 25311475503.

3055741135200 is a `hidden beast` number, since 3 + 0 + 5 + 5 + 7 + 411 + 35 + 200 = 666.

3055741135200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3055741135193) and next prime (3055741135207).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3055741135207) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1296452422 + ... + 1296454778.

It is an arithmetic number, because the mean of its divisors is an integer number (9791253745).

Almost surely, 2^{3055741135200} is an apocalyptic number.

3055741135200 is a gapful number since it is divisible by the number (30) 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 3055741135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6344732426760).

3055741135200 is an abundant number, since it is smaller than the sum of its proper divisors (9633723718320).

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

3055741135200 is a wasteful number, since it uses less digits than its factorization.

3055741135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 3055741135200 in words is "three trillion, fifty-five billion, seven hundred forty-one million, one hundred thirty-five thousand, two hundred".