65384565120 has 1536 divisors, whose sum is σ = 289341849600. Its totient is φ = 13888143360.

The previous prime is 65384565107. The next prime is 65384565121. The reversal of 65384565120 is 2156548356.

65384565120 is a `hidden beast` number, since 6 + 5 + 3 + 84 + 56 + 512 + 0 = 666.

It is a super-2 number, since 2×65384565120² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65384565121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1233671014 + ... + 1233671066.

It is an arithmetic number, because the mean of its divisors is an integer number (188373600).

Almost surely, 2^65384565120 is an apocalyptic number.

65384565120 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 65384565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144670924800).

65384565120 is an abundant number, since it is smaller than the sum of its proper divisors (223957284480).

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

65384565120 is a wasteful number, since it uses less digits than its factorization.

65384565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 65384565120 in words is "sixty-five billion, three hundred eighty-four million, five hundred sixty-five thousand, one hundred twenty".