2755445299200 has 3240 divisors, whose sum is σ = 12543564933900. Its totient is φ = 595604275200.

The previous prime is 2755445299151. The next prime is 2755445299267. The reversal of 2755445299200 is 29925445572.

2755445299200 is a `hidden beast` number, since 2 + 7 + 5 + 544 + 5 + 2 + 9 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 145023436791 + ... + 145023436809.

Almost surely, 2^{2755445299200} is an apocalyptic number.

2755445299200 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 2755445299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271782466950).

2755445299200 is an abundant number, since it is smaller than the sum of its proper divisors (9788119634700).

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

2755445299200 is a wasteful number, since it uses less digits than its factorization.

2755445299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2755445299200 in words is "two trillion, seven hundred fifty-five billion, four hundred forty-five million, two hundred ninety-nine thousand, two hundred".