65380896000 has 1296 divisors, whose sum is σ = 282825034128. Its totient is φ = 14450688000.

The previous prime is 65380895989. The next prime is 65380896011. The reversal of 65380896000 is 69808356.

65380896000 is a `hidden beast` number, since 6 + 5 + 38 + 0 + 8 + 9 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65380895989) and next prime (65380896011).

It can be written as a sum of positive squares in 8 ways, for example, as 57392826624 + 7988069376 = 239568^2 + 89376^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 578591944 + ... + 578592056.

It is an arithmetic number, because the mean of its divisors is an integer number (218229193).

Almost surely, 2^65380896000 is an apocalyptic number.

65380896000 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 65380896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141412517064).

65380896000 is an abundant number, since it is smaller than the sum of its proper divisors (217444138128).

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

65380896000 is a wasteful number, since it uses less digits than its factorization.

65380896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 65380896000 in words is "sixty-five billion, three hundred eighty million, eight hundred ninety-six thousand".