2141168863680 has 1344 divisors, whose sum is σ = 9357832074240. Its totient is φ = 436484505600.

The previous prime is 2141168863679. The next prime is 2141168863699. The reversal of 2141168863680 is 863688611412.

2141168863680 is a `hidden beast` number, since 2 + 1 + 41 + 168 + 86 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3098652135 + ... + 3098652825.

Almost surely, 2^{2141168863680} is an apocalyptic number.

2141168863680 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 2141168863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678916037120).

2141168863680 is an abundant number, since it is smaller than the sum of its proper divisors (7216663210560).

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

2141168863680 is a wasteful number, since it uses less digits than its factorization.

2141168863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 2141168863680 in words is "two trillion, one hundred forty-one billion, one hundred sixty-eight million, eight hundred sixty-three thousand, six hundred eighty".