16577955977561 has 24 divisors (see below), whose sum is σ = 20309406495840. Its totient is φ = 13437802730880.

The previous prime is 16577955977551. The next prime is 16577955977587.

16577955977561 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16577955977561 - 2²² = 16577951783257 is a prime.

It is a super-2 number, since 2×16577955977561² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16577955977551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212047451 + ... + 212125616.

It is an arithmetic number, because the mean of its divisors is an integer number (846225270660).

Almost surely, 2^{16577955977561} is an apocalyptic number.

16577955977561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16577955977561 is a deficient number, since it is larger than the sum of its proper divisors (3731450518279).

16577955977561 is a wasteful number, since it uses less digits than its factorization.

16577955977561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424173125 (or 424173114 counting only the distinct ones).

The product of its digits is 4375822500, while the sum is 80.

The spelling of 16577955977561 in words is "sixteen trillion, five hundred seventy-seven billion, nine hundred fifty-five million, nine hundred seventy-seven thousand, five hundred sixty-one".