65085258240 has 320 divisors, whose sum is σ = 234373392000. Its totient is φ = 17116987392.

The previous prime is 65085258223. The next prime is 65085258253. The reversal of 65085258240 is 4285258056.

It is a happy number.

65085258240 is a `hidden beast` number, since 6 + 5 + 0 + 8 + 525 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5039311 + ... + 5052209.

It is an arithmetic number, because the mean of its divisors is an integer number (732416850).

Almost surely, 2^65085258240 is an apocalyptic number.

65085258240 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 65085258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117186696000).

65085258240 is an abundant number, since it is smaller than the sum of its proper divisors (169288133760).

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

65085258240 is a wasteful number, since it uses less digits than its factorization.

65085258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13004 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 65085258240 in words is "sixty-five billion, eighty-five million, two hundred fifty-eight thousand, two hundred forty".