16590955909561 has 32 divisors (see below), whose sum is σ = 18306183772800. Its totient is φ = 14911249113600.

The previous prime is 16590955909547. The next prime is 16590955909613.

16590955909561 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 16590955909561 - 2⁷ = 16590955909433 is a prime.

It is a super-2 number, since 2×16590955909561² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16590955909531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372398115 + ... + 372442663.

It is an arithmetic number, because the mean of its divisors is an integer number (572068242900).

Almost surely, 2^{16590955909561} is an apocalyptic number.

16590955909561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16590955909561 is a deficient number, since it is larger than the sum of its proper divisors (1715227863239).

16590955909561 is a wasteful number, since it uses less digits than its factorization.

16590955909561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45705.

The product of its (nonzero) digits is 147622500, while the sum is 70.

The spelling of 16590955909561 in words is "sixteen trillion, five hundred ninety billion, nine hundred fifty-five million, nine hundred nine thousand, five hundred sixty-one".