2027566696000 has 112 divisors (see below), whose sum is σ = 5021905739760. Its totient is φ = 810923827200.

The previous prime is 2027566695991. The next prime is 2027566696049. The reversal of 2027566696000 is 6966657202.

It can be written as a sum of positive squares in 8 ways, for example, as 479572870144 + 1547993825856 = 692512^2 + 1244184^2 .

It is a super-2 number, since 2×2027566696000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110974866 + ... + 110993134.

It is an arithmetic number, because the mean of its divisors is an integer number (44838444105).

Almost surely, 2^{2027566696000} is an apocalyptic number.

2027566696000 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 2027566696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510952869880).

2027566696000 is an abundant number, since it is smaller than the sum of its proper divisors (2994339043760).

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

2027566696000 is a wasteful number, since it uses less digits than its factorization.

2027566696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32169 (or 32149 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 2027566696000 in words is "two trillion, twenty-seven billion, five hundred sixty-six million, six hundred ninety-six thousand".