51656458560 has 560 divisors, whose sum is σ = 194585514816. Its totient is φ = 11607515136.

The previous prime is 51656458507. The next prime is 51656458561. The reversal of 51656458560 is 6585465615.

It is a tau number, because it is divible by the number of its divisors (560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51656458561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 168261927 + ... + 168262233.

Almost surely, 2^51656458560 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 51656458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292757408).

51656458560 is an abundant number, since it is smaller than the sum of its proper divisors (142929056256).

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

51656458560 is an equidigital number, since it uses as much as digits as its factorization.

51656458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 51.

The spelling of 51656458560 in words is "fifty-one billion, six hundred fifty-six million, four hundred fifty-eight thousand, five hundred sixty".