56610111101665 has 24 divisors (see below), whose sum is σ = 76078057351464. Its totient is φ = 40394178739200.

The previous prime is 56610111101657. The next prime is 56610111101669.

56610111101665 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 16591683277521 + 40018427824144 = 4073289^2 + 6326012^2 .

It is not a de Polignac number, because 56610111101665 - 2³ = 56610111101657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56610111101669) 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, 882707856 + ... + 882771985.

It is an arithmetic number, because the mean of its divisors is an integer number (3169919056311).

Almost surely, 2^{56610111101665} is an apocalyptic number.

56610111101665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56610111101665 is a deficient number, since it is larger than the sum of its proper divisors (19467946249799).

56610111101665 is a wasteful number, since it uses less digits than its factorization.

56610111101665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765479921 (or 1765479910 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 40.

It can be divided in two parts, 5661011 and 1101665, that added together give a palindrome (6762676).

The spelling of 56610111101665 in words is "fifty-six trillion, six hundred ten billion, one hundred eleven million, one hundred one thousand, six hundred sixty-five".