65575548002160 has 480 divisors, whose sum is σ = 262770851589120. Its totient is φ = 14987409357312.

The previous prime is 65575548002059. The next prime is 65575548002257. The reversal of 65575548002160 is 6120084557556.

65575548002160 is a `hidden beast` number, since 6 + 5 + 5 + 7 + 554 + 8 + 0 + 0 + 21 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 65575548002097 and 65575548002106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1821170877 + ... + 1821206883.

It is an arithmetic number, because the mean of its divisors is an integer number (547439274144).

Almost surely, 2^{65575548002160} is an apocalyptic number.

65575548002160 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 65575548002160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131385425794560).

65575548002160 is an abundant number, since it is smaller than the sum of its proper divisors (197195303586960).

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

65575548002160 is a wasteful number, since it uses less digits than its factorization.

65575548002160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53250 (or 53231 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 65575548002160 in words is "sixty-five trillion, five hundred seventy-five billion, five hundred forty-eight million, two thousand, one hundred sixty".