16806065085810 has 384 divisors, whose sum is σ = 60841359581184. Its totient is φ = 3223540488960.

The previous prime is 16806065085809. The next prime is 16806065085811. The reversal of 16806065085810 is 1858056060861.

16806065085810 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 6 + 0 + 6 + 50 + 8 + 581 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16806065085809) and next prime (16806065085811).

It is a super-2 number, since 2×16806065085810² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16806065085811) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1022154 + ... + 5887013.

It is an arithmetic number, because the mean of its divisors is an integer number (158441040576).

Almost surely, 2^{16806065085810} is an apocalyptic number.

16806065085810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16806065085810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30420679790592).

16806065085810 is an abundant number, since it is smaller than the sum of its proper divisors (44035294495374).

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

16806065085810 is a wasteful number, since it uses less digits than its factorization.

16806065085810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6909220 (or 6909208 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 16806065085810 in words is "sixteen trillion, eight hundred six billion, sixty-five million, eighty-five thousand, eight hundred ten".