2655753428160 has 560 divisors, whose sum is σ = 11088377745984. Its totient is φ = 590621663232.

The previous prime is 2655753428117. The next prime is 2655753428191. The reversal of 2655753428160 is 618243575562.

2655753428160 is a `hidden beast` number, since 2 + 6 + 5 + 5 + 7 + 53 + 428 + 160 = 666.

2655753428160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 2655753428097 and 2655753428106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6515482 + ... + 6911078.

Almost surely, 2^{2655753428160} is an apocalyptic number.

2655753428160 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 2655753428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5544188872992).

2655753428160 is an abundant number, since it is smaller than the sum of its proper divisors (8432624317824).

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

2655753428160 is a wasteful number, since it uses less digits than its factorization.

2655753428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395670 (or 395651 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 2655753428160 in words is "two trillion, six hundred fifty-five billion, seven hundred fifty-three million, four hundred twenty-eight thousand, one hundred sixty".