653656621056 has 256 divisors, whose sum is σ = 1801040209920. Its totient is φ = 210732318720.

The previous prime is 653656621049. The next prime is 653656621073. The reversal of 653656621056 is 650126656356.

It is a tau number, because it is divible by the number of its divisors (256).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511868290 + ... + 511869566.

It is an arithmetic number, because the mean of its divisors is an integer number (7035313320).

Almost surely, 2^653656621056 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 653656621056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900520104960).

653656621056 is an abundant number, since it is smaller than the sum of its proper divisors (1147383588864).

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

653656621056 is a wasteful number, since it uses less digits than its factorization.

653656621056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 51.

The spelling of 653656621056 in words is "six hundred fifty-three billion, six hundred fifty-six million, six hundred twenty-one thousand, fifty-six".