65575301616 has 240 divisors, whose sum is σ = 211333200000. Its totient is φ = 18772508160.

The previous prime is 65575301609. The next prime is 65575301647. The reversal of 65575301616 is 61610357556.

65575301616 is a `hidden beast` number, since 6 + 5 + 57 + 530 + 1 + 61 + 6 = 666.

It is a super-2 number, since 2×65575301616² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11403510 + ... + 11409258.

It is an arithmetic number, because the mean of its divisors is an integer number (880555000).

Almost surely, 2^65575301616 is an apocalyptic number.

65575301616 is a gapful number since it is divisible by the number (66) 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 65575301616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105666600000).

65575301616 is an abundant number, since it is smaller than the sum of its proper divisors (145757898384).

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

65575301616 is a wasteful number, since it uses less digits than its factorization.

65575301616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 65575301616 in words is "sixty-five billion, five hundred seventy-five million, three hundred one thousand, six hundred sixteen".