2170858669056 has 3168 divisors, whose sum is σ = 9385472073600. Its totient is φ = 490497638400.

The previous prime is 2170858668947. The next prime is 2170858669157. The reversal of 2170858669056 is 6509668580712.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×2170858669056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2170858668984 and 2170858669002.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52947772396 + ... + 52947772436.

Almost surely, 2^{2170858669056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2170858669056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692736036800).

2170858669056 is an abundant number, since it is smaller than the sum of its proper divisors (7214613404544).

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

2170858669056 is a wasteful number, since it uses less digits than its factorization.

2170858669056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 2170858669056 in words is "two trillion, one hundred seventy billion, eight hundred fifty-eight million, six hundred sixty-nine thousand, fifty-six".