2755848580800 has 336 divisors, whose sum is σ = 10376384916480. Its totient is φ = 627270819840.

The previous prime is 2755848580781. The next prime is 2755848580801. The reversal of 2755848580800 is 80858485572.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2755848580801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7858812 + ... + 8201988.

Almost surely, 2^{2755848580800} is an apocalyptic number.

2755848580800 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 2755848580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188192458240).

2755848580800 is an abundant number, since it is smaller than the sum of its proper divisors (7620536335680).

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

2755848580800 is a wasteful number, since it uses less digits than its factorization.

2755848580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343448 (or 343433 counting only the distinct ones).

The product of its (nonzero) digits is 28672000, while the sum is 60.

The spelling of 2755848580800 in words is "two trillion, seven hundred fifty-five billion, eight hundred forty-eight million, five hundred eighty thousand, eight hundred".