656566500000 has 672 divisors, whose sum is σ = 2249071211520. Its totient is φ = 167587200000.

The previous prime is 656566499989. The next prime is 656566500019. The reversal of 656566500000 is 5665656.

It is a happy number.

656566500000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4723499931 + ... + 4723500069.

It is an arithmetic number, because the mean of its divisors is an integer number (3346832160).

Almost surely, 2^656566500000 is an apocalyptic number.

656566500000 is a gapful number since it is divisible by the number (60) 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 656566500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124535605760).

656566500000 is an abundant number, since it is smaller than the sum of its proper divisors (1592504711520).

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

656566500000 is an equidigital number, since it uses as much as digits as its factorization.

656566500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

It can be divided in two parts, 65656 and 6500000, that added together give a palindrome (6565656).

The spelling of 656566500000 in words is "six hundred fifty-six billion, five hundred sixty-six million, five hundred thousand".