656213220300 has 144 divisors (see below), whose sum is σ = 2079502153344. Its totient is φ = 158448000000.

The previous prime is 656213220277. The next prime is 656213220301. The reversal of 656213220300 is 3022312656.

656213220300 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 Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (656213220301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432180 + ... + 1224420.

It is an arithmetic number, because the mean of its divisors is an integer number (14440987176).

Almost surely, 2^656213220300 is an apocalyptic number.

656213220300 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 656213220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039751076672).

656213220300 is an abundant number, since it is smaller than the sum of its proper divisors (1423288933044).

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

656213220300 is a wasteful number, since it uses less digits than its factorization.

656213220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792520 (or 792513 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 656213220300 its reverse (3022312656), we get a palindrome (659235532956).

The spelling of 656213220300 in words is "six hundred fifty-six billion, two hundred thirteen million, two hundred twenty thousand, three hundred".