2161086808320 has 576 divisors, whose sum is σ = 8442939859200. Its totient is φ = 519083458560.

The previous prime is 2161086808273. The next prime is 2161086808427. The reversal of 2161086808320 is 238086801612.

2161086808320 is a `hidden beast` number, since 2 + 1 + 610 + 8 + 6 + 8 + 0 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41411364 + ... + 41463516.

It is an arithmetic number, because the mean of its divisors is an integer number (14657881700).

Almost surely, 2^{2161086808320} is an apocalyptic number.

2161086808320 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 2161086808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221469929600).

2161086808320 is an abundant number, since it is smaller than the sum of its proper divisors (6281853050880).

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

2161086808320 is a wasteful number, since it uses less digits than its factorization.

2161086808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52303 (or 52283 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 2161086808320 in words is "two trillion, one hundred sixty-one billion, eighty-six million, eight hundred eight thousand, three hundred twenty".