655257752556 has 192 divisors, whose sum is σ = 1731715055616. Its totient is φ = 191098310400.

The previous prime is 655257752551. The next prime is 655257752599.

655257752556 is nontrivially palindromic in base 10.

655257752556 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 655257752556.

It is not an unprimeable number, because it can be changed into a prime (655257752551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177526671 + ... + 177530361.

It is an arithmetic number, because the mean of its divisors is an integer number (9019349248).

Almost surely, 2^655257752556 is an apocalyptic number.

655257752556 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 655257752556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865857527808).

655257752556 is an abundant number, since it is smaller than the sum of its proper divisors (1076457303060).

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

655257752556 is a wasteful number, since it uses less digits than its factorization.

655257752556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4130 counting only the distinct ones).

The product of its digits is 110250000, while the sum is 60.

The spelling of 655257752556 in words is "six hundred fifty-five billion, two hundred fifty-seven million, seven hundred fifty-two thousand, five hundred fifty-six".