2117665770000 has 600 divisors, whose sum is σ = 7717640914368. Its totient is φ = 499466880000.

The previous prime is 2117665769993. The next prime is 2117665770007. The reversal of 2117665770000 is 775667112.

It is an interprime number because it is at equal distance from previous prime (2117665769993) and next prime (2117665770007).

It is a tau number, because it is divible by the number of its divisors (600).

It is not an unprimeable number, because it can be changed into a prime (2117665770007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 134302117 + ... + 134317883.

Almost surely, 2^{2117665770000} is an apocalyptic number.

2117665770000 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 2117665770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858820457184).

2117665770000 is an abundant number, since it is smaller than the sum of its proper divisors (5599975144368).

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

2117665770000 is a wasteful number, since it uses less digits than its factorization.

2117665770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15857 (or 15825 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 2117665770000 in words is "two trillion, one hundred seventeen billion, six hundred sixty-five million, seven hundred seventy thousand".