16577755777561 has 32 divisors (see below), whose sum is σ = 18381112565760. Its totient is φ = 14825585174400.

The previous prime is 16577755777559. The next prime is 16577755777607.

16577755777561 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16577755777561 - 2¹ = 16577755777559 is a prime.

It is a super-2 number, since 2×16577755777561² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16577755777861) 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, 376138156 + ... + 376182226.

It is an arithmetic number, because the mean of its divisors is an integer number (574409767680).

Almost surely, 2^{16577755777561} is an apocalyptic number.

16577755777561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16577755777561 is a deficient number, since it is larger than the sum of its proper divisors (1803356788199).

16577755777561 is a wasteful number, since it uses less digits than its factorization.

16577755777561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46117.

The product of its digits is 2647102500, while the sum is 76.

The spelling of 16577755777561 in words is "sixteen trillion, five hundred seventy-seven billion, seven hundred fifty-five million, seven hundred seventy-seven thousand, five hundred sixty-one".