56630461921280 has 192 divisors, whose sum is σ = 146348748393120. Its totient is φ = 20907348590592.

The previous prime is 56630461921279. The next prime is 56630461921309. The reversal of 56630461921280 is 8212916403665.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1559748887 + ... + 1559785193.

Almost surely, 2^{56630461921280} 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 56630461921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73174374196560).

56630461921280 is an abundant number, since it is smaller than the sum of its proper divisors (89718286471840).

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

56630461921280 is a wasteful number, since it uses less digits than its factorization.

56630461921280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48064 (or 48044 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 56630461921280 in words is "fifty-six trillion, six hundred thirty billion, four hundred sixty-one million, nine hundred twenty-one thousand, two hundred eighty".