656825528656 has 80 divisors (see below), whose sum is σ = 1431868140288. Its totient is φ = 289311296000.

The previous prime is 656825528641. The next prime is 656825528687.

656825528656 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442386 + ... + 1228558.

Almost surely, 2^656825528656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656825528656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715934070144).

656825528656 is an abundant number, since it is smaller than the sum of its proper divisors (775042611632).

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

656825528656 is a wasteful number, since it uses less digits than its factorization.

656825528656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786340 (or 786334 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 64.

The spelling of 656825528656 in words is "six hundred fifty-six billion, eight hundred twenty-five million, five hundred twenty-eight thousand, six hundred fifty-six".