2175505606656 has 192 divisors, whose sum is σ = 6553605240000. Its totient is φ = 712876474368.

The previous prime is 2175505606621. The next prime is 2175505606711. The reversal of 2175505606656 is 6566065055712.

2175505606656 is a `hidden beast` number, since 2 + 1 + 75 + 5 + 0 + 560 + 6 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 15 ways as a sum of consecutive naturals, for example, 2929050 + ... + 3595878.

It is an arithmetic number, because the mean of its divisors is an integer number (34133360625).

Almost surely, 2^{2175505606656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2175505606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276802620000).

2175505606656 is an abundant number, since it is smaller than the sum of its proper divisors (4378099633344).

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

2175505606656 is an equidigital number, since it uses as much as digits as its factorization.

2175505606656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666919 (or 666893 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 2175505606656 in words is "two trillion, one hundred seventy-five billion, five hundred five million, six hundred six thousand, six hundred fifty-six".