65925280512 has 1440 divisors, whose sum is σ = 265922764800. Its totient is φ = 16094453760.

The previous prime is 65925280507. The next prime is 65925280513. The reversal of 65925280512 is 21508252956.

65925280512 is a `hidden beast` number, since 6 + 5 + 9 + 2 + 52 + 80 + 512 = 666.

It is a super-2 number, since 2×65925280512² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65925280513) 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 159 ways as a sum of consecutive naturals, for example, 2126621937 + ... + 2126621967.

Almost surely, 2^65925280512 is an apocalyptic number.

65925280512 is a gapful number since it is divisible by the number (62) 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 65925280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132961382400).

65925280512 is an abundant number, since it is smaller than the sum of its proper divisors (199997484288).

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

65925280512 is a wasteful number, since it uses less digits than its factorization.

65925280512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 65925280512 in words is "sixty-five billion, nine hundred twenty-five million, two hundred eighty thousand, five hundred twelve".