2655369319680 has 2304 divisors, whose sum is σ = 12110254571520. Its totient is φ = 541776936960.

The previous prime is 2655369319663. The next prime is 2655369319751. The reversal of 2655369319680 is 869139635562.

2655369319680 is a `hidden beast` number, since 2 + 6 + 5 + 5 + 369 + 3 + 196 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20908419777 + ... + 20908419903.

It is an arithmetic number, because the mean of its divisors is an integer number (5256186880).

Almost surely, 2^{2655369319680} is an apocalyptic number.

2655369319680 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 2655369319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6055127285760).

2655369319680 is an abundant number, since it is smaller than the sum of its proper divisors (9454885251840).

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

2655369319680 is an equidigital number, since it uses as much as digits as its factorization.

2655369319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

It can be divided in two parts, 265536 and 9319680, that added together give a square (9585216 = 3096²).

The spelling of 2655369319680 in words is "two trillion, six hundred fifty-five billion, three hundred sixty-nine million, three hundred nineteen thousand, six hundred eighty".