65250645120 has 640 divisors, whose sum is σ = 253317081600. Its totient is φ = 15945154560.

The previous prime is 65250645077. The next prime is 65250645121. The reversal of 65250645120 is 2154605256.

65250645120 is a `hidden beast` number, since 6 + 5 + 2 + 5 + 0 + 645 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (65250645121) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 30532692 + ... + 30534828.

It is an arithmetic number, because the mean of its divisors is an integer number (395807940).

Almost surely, 2^65250645120 is an apocalyptic number.

65250645120 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 65250645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658540800).

65250645120 is an abundant number, since it is smaller than the sum of its proper divisors (188066436480).

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

65250645120 is a wasteful number, since it uses less digits than its factorization.

65250645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 65250645120 in words is "sixty-five billion, two hundred fifty million, six hundred forty-five thousand, one hundred twenty".