65548085760 has 320 divisors, whose sum is σ = 233666294400. Its totient is φ = 17416912896.

The previous prime is 65548085719. The next prime is 65548085773. The reversal of 65548085760 is 6758084556.

65548085760 is a `hidden beast` number, since 6 + 55 + 480 + 8 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 65548085697 and 65548085706.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21218296 + ... + 21221384.

It is an arithmetic number, because the mean of its divisors is an integer number (730207170).

Almost surely, 2^65548085760 is an apocalyptic number.

65548085760 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 65548085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116833147200).

65548085760 is an abundant number, since it is smaller than the sum of its proper divisors (168118208640).

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

65548085760 is a wasteful number, since it uses less digits than its factorization.

65548085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 65548085760 in words is "sixty-five billion, five hundred forty-eight million, eighty-five thousand, seven hundred sixty".