655656585656556 has 288 divisors, whose sum is σ = 1760136852418560. Its totient is φ = 189610994327040.

The previous prime is 655656585656549. The next prime is 655656585656561.

655656585656556 is nontrivially palindromic in base 10.

655656585656556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×655656585656556² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10270438885 + ... + 10270502723.

It is an arithmetic number, because the mean of its divisors is an integer number (6111586293120).

Almost surely, 2^{655656585656556} is an apocalyptic number.

655656585656556 is a gapful number since it is divisible by the number (66) 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 655656585656556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880068426209280).

655656585656556 is an abundant number, since it is smaller than the sum of its proper divisors (1104480266762004).

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

655656585656556 is a wasteful number, since it uses less digits than its factorization.

655656585656556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67565 (or 67552 counting only the distinct ones).

The product of its digits is 145800000000, while the sum is 84.

The spelling of 655656585656556 in words is "six hundred fifty-five trillion, six hundred fifty-six billion, five hundred eighty-five million, six hundred fifty-six thousand, five hundred fifty-six".