2027265676800 has 960 divisors, whose sum is σ = 8382948456960. Its totient is φ = 420438343680.

The previous prime is 2027265676763. The next prime is 2027265676819. The reversal of 2027265676800 is 86765627202.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2027265676800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206164684 + ... + 206174516.

It is an arithmetic number, because the mean of its divisors is an integer number (8732237976).

Almost surely, 2^{2027265676800} is an apocalyptic number.

2027265676800 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 2027265676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191474228480).

2027265676800 is an abundant number, since it is smaller than the sum of its proper divisors (6355682780160).

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

2027265676800 is a wasteful number, since it uses less digits than its factorization.

2027265676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943 (or 9922 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 2027265676800 in words is "two trillion, twenty-seven billion, two hundred sixty-five million, six hundred seventy-six thousand, eight hundred".