56632386370560 has 1408 divisors, whose sum is σ = 256003885670400. Its totient is φ = 10290789089280.

The previous prime is 56632386370529. The next prime is 56632386370603. The reversal of 56632386370560 is 6507368323665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 56632386370494 and 56632386370503.

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 127 ways as a sum of consecutive naturals, for example, 292034911 + ... + 292228769.

Almost surely, 2^{56632386370560} 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 56632386370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128001942835200).

56632386370560 is an abundant number, since it is smaller than the sum of its proper divisors (199371499299840).

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

56632386370560 is a wasteful number, since it uses less digits than its factorization.

56632386370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193937 (or 193919 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 60.

The spelling of 56632386370560 in words is "fifty-six trillion, six hundred thirty-two billion, three hundred eighty-six million, three hundred seventy thousand, five hundred sixty".