56205584160 has 864 divisors, whose sum is σ = 215663394240. Its totient is φ = 12256358400.

The previous prime is 56205584137. The next prime is 56205584167. The reversal of 56205584160 is 6148550265.

It is not an unprimeable number, because it can be changed into a prime (56205584167) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1060482694 + ... + 1060482746.

It is an arithmetic number, because the mean of its divisors is an integer number (249610410).

Almost surely, 2^56205584160 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 56205584160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107831697120).

56205584160 is an abundant number, since it is smaller than the sum of its proper divisors (159457810080).

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

56205584160 is a wasteful number, since it uses less digits than its factorization.

56205584160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 56205584160 in words is "fifty-six billion, two hundred five million, five hundred eighty-four thousand, one hundred sixty".