2161560401280 has 2560 divisors, whose sum is σ = 9827470540800. Its totient is φ = 441447874560.

The previous prime is 2161560401267. The next prime is 2161560401281. The reversal of 2161560401280 is 821040651612.

It is a happy number.

2161560401280 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 560 + 4 + 0 + 12 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161560401281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 17020160577 + ... + 17020160703.

It is an arithmetic number, because the mean of its divisors is an integer number (3838855680).

Almost surely, 2^{2161560401280} is an apocalyptic number.

2161560401280 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 2161560401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913735270400).

2161560401280 is an abundant number, since it is smaller than the sum of its proper divisors (7665910139520).

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

2161560401280 is a wasteful number, since it uses less digits than its factorization.

2161560401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2161560401280 in words is "two trillion, one hundred sixty-one billion, five hundred sixty million, four hundred one thousand, two hundred eighty".