65870804160 has 672 divisors, whose sum is σ = 269468559360. Its totient is φ = 14450171904.

The previous prime is 65870804143. The next prime is 65870804171. The reversal of 65870804160 is 6140807856.

It is a happy number.

65870804160 is a `hidden beast` number, since 6 + 587 + 0 + 8 + 0 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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 95 ways as a sum of consecutive naturals, for example, 179484297 + ... + 179484663.

It is an arithmetic number, because the mean of its divisors is an integer number (400994880).

Almost surely, 2^65870804160 is an apocalyptic number.

65870804160 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 65870804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134734279680).

65870804160 is an abundant number, since it is smaller than the sum of its proper divisors (203597755200).

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

65870804160 is a wasteful number, since it uses less digits than its factorization.

65870804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 65870804160 in words is "sixty-five billion, eight hundred seventy million, eight hundred four thousand, one hundred sixty".