2700868800000 has 960 divisors, whose sum is σ = 10613968662528. Its totient is φ = 597196800000.

The previous prime is 2700868799953. The next prime is 2700868800053. The reversal of 2700868800000 is 88680072.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1041598704 + ... + 1041601296.

Almost surely, 2^{2700868800000} is an apocalyptic number.

2700868800000 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 2700868800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306984331264).

2700868800000 is an abundant number, since it is smaller than the sum of its proper divisors (7913099862528).

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

2700868800000 is an frugal number, since it uses more digits than its factorization.

2700868800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 2700868800000 in words is "two trillion, seven hundred billion, eight hundred sixty-eight million, eight hundred thousand".