2159861760000 has 2040 divisors, whose sum is σ = 9538915369984. Its totient is φ = 477757440000.

The previous prime is 2159861759983. The next prime is 2159861760013. The reversal of 2159861760000 is 671689512.

2159861760000 is a `hidden beast` number, since 21 + 5 + 9 + 8 + 6 + 17 + 600 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 69672959985 + ... + 69672960015.

Almost surely, 2^{2159861760000} is an apocalyptic number.

2159861760000 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 2159861760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769457684992).

2159861760000 is an abundant number, since it is smaller than the sum of its proper divisors (7379053609984).

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

2159861760000 is an frugal number, since it uses more digits than its factorization.

2159861760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2159861760000 in words is "two trillion, one hundred fifty-nine billion, eight hundred sixty-one million, seven hundred sixty thousand".