16705127040 has 384 divisors, whose sum is σ = 63628416000. Its totient is φ = 3714342912.

The previous prime is 16705127017. The next prime is 16705127063. The reversal of 16705127040 is 4072150761.

It is an interprime number because it is at equal distance from previous prime (16705127017) and next prime (16705127063).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16705127040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16705126992 and 16705127010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3478561 + ... + 3483359.

It is an arithmetic number, because the mean of its divisors is an integer number (165699000).

Almost surely, 2^16705127040 is an apocalyptic number.

16705127040 is a gapful number since it is divisible by the number (10) 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 16705127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31814208000).

16705127040 is an abundant number, since it is smaller than the sum of its proper divisors (46923288960).

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

16705127040 is a wasteful number, since it uses less digits than its factorization.

16705127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 16705127040 in words is "sixteen billion, seven hundred five million, one hundred twenty-seven thousand, forty".