2755311680000 has 400 divisors, whose sum is σ = 7831269141696. Its totient is φ = 958341120000.

The previous prime is 2755311679997. The next prime is 2755311680027. The reversal of 2755311680000 is 861135572.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 80942984 + ... + 80977016.

Almost surely, 2^{2755311680000} is an apocalyptic number.

2755311680000 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 2755311680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915634570848).

2755311680000 is an abundant number, since it is smaller than the sum of its proper divisors (5075957461696).

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

2755311680000 is an equidigital number, since it uses as much as digits as its factorization.

2755311680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34105 (or 34074 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 2755311680000 in words is "two trillion, seven hundred fifty-five billion, three hundred eleven million, six hundred eighty thousand".