2027212768656 has 180 divisors, whose sum is σ = 5966485276752. Its totient is φ = 642181623552.

The previous prime is 2027212768601. The next prime is 2027212768673. The reversal of 2027212768656 is 6568672127202.

2027212768656 is a `hidden beast` number, since 20 + 272 + 1 + 276 + 86 + 5 + 6 = 666.

It is a super-3 number, since 3×2027212768656³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8357275 + ... + 8596421.

Almost surely, 2^{2027212768656} 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 2027212768656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983242638376).

2027212768656 is an abundant number, since it is smaller than the sum of its proper divisors (3939272508096).

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

2027212768656 is a wasteful number, since it uses less digits than its factorization.

2027212768656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239278 (or 239232 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2027212768656 in words is "two trillion, twenty-seven billion, two hundred twelve million, seven hundred sixty-eight thousand, six hundred fifty-six".