65556812160 has 512 divisors, whose sum is σ = 268665062400. Its totient is φ = 14982174720.

The previous prime is 65556812147. The next prime is 65556812219. The reversal of 65556812160 is 6121865556.

65556812160 is a `hidden beast` number, since 6 + 5 + 5 + 568 + 1 + 21 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 9794415 + ... + 9801105.

It is an arithmetic number, because the mean of its divisors is an integer number (524736450).

Almost surely, 2^65556812160 is an apocalyptic number.

65556812160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65556812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134332531200).

65556812160 is an abundant number, since it is smaller than the sum of its proper divisors (203108250240).

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

65556812160 is an frugal number, since it uses more digits than its factorization.

65556812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 65556812160 in words is "sixty-five billion, five hundred fifty-six million, eight hundred twelve thousand, one hundred sixty".