56435688960 has 640 divisors, whose sum is σ = 217644641280. Its totient is φ = 12201885696.

The previous prime is 56435688941. The next prime is 56435689003. The reversal of 56435688960 is 6988653465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 56435688894 and 56435688903.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 82628779 + ... + 82629461.

It is an arithmetic number, because the mean of its divisors is an integer number (340069752).

Almost surely, 2^56435688960 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 56435688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108822320640).

56435688960 is an abundant number, since it is smaller than the sum of its proper divisors (161208952320).

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

56435688960 is a wasteful number, since it uses less digits than its factorization.

56435688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 56435688960 in words is "fifty-six billion, four hundred thirty-five million, six hundred eighty-eight thousand, nine hundred sixty".