65161424160 has 1152 divisors, whose sum is σ = 283150909440. Its totient is φ = 13701187584.

The previous prime is 65161424129. The next prime is 65161424161. The reversal of 65161424160 is 6142416156.

65161424160 is a `hidden beast` number, since 6 + 5 + 1 + 614 + 24 + 16 + 0 = 666.

It is a super-4 number, since 4×65161424160⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (65161424161) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 513082017 + ... + 513082143.

It is an arithmetic number, because the mean of its divisors is an integer number (245790720).

Almost surely, 2^65161424160 is an apocalyptic number.

65161424160 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 65161424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141575454720).

65161424160 is an abundant number, since it is smaller than the sum of its proper divisors (217989485280).

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

65161424160 is a wasteful number, since it uses less digits than its factorization.

65161424160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 65161424160 in words is "sixty-five billion, one hundred sixty-one million, four hundred twenty-four thousand, one hundred sixty".