2027801160000 has 1680 divisors, whose sum is σ = 9126448201728. Its totient is φ = 418060800000.

The previous prime is 2027801159983. The next prime is 2027801160001. The reversal of 2027801160000 is 611087202.

2027801160000 is a `hidden beast` number, since 20 + 27 + 8 + 0 + 11 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×2027801160000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027801160001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5294519809 + ... + 5294520191.

Almost surely, 2^{2027801160000} is an apocalyptic number.

2027801160000 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 2027801160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563224100864).

2027801160000 is an abundant number, since it is smaller than the sum of its proper divisors (7098647041728).

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

2027801160000 is a wasteful number, since it uses less digits than its factorization.

2027801160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 2027801160000 in words is "two trillion, twenty-seven billion, eight hundred one million, one hundred sixty thousand".