16705127010 has 384 divisors, whose sum is σ = 52255155456. Its totient is φ = 3357573120.

The previous prime is 16705126979. The next prime is 16705127017. The reversal of 16705127010 is 1072150761.

It is a super-2 number, since 2×16705127010² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (16705127017) 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, 38579754 + ... + 38580186.

It is an arithmetic number, because the mean of its divisors is an integer number (136081134).

Almost surely, 2^16705127010 is an apocalyptic number.

16705127010 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 16705127010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26127577728).

16705127010 is an abundant number, since it is smaller than the sum of its proper divisors (35550028446).

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

16705127010 is a wasteful number, since it uses less digits than its factorization.

16705127010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

Adding to 16705127010 its reverse (1072150761), we get a palindrome (17777277771).

The spelling of 16705127010 in words is "sixteen billion, seven hundred five million, one hundred twenty-seven thousand, ten".