65265127106000 has 320 divisors, whose sum is σ = 166297334860800. Its totient is φ = 24724922112000.

The previous prime is 65265127105963. The next prime is 65265127106041. The reversal of 65265127106000 is 60172156256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9180630446 + ... + 9180637554.

It is an arithmetic number, because the mean of its divisors is an integer number (519679171440).

Almost surely, 2^{65265127106000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65265127106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83148667430400).

65265127106000 is an abundant number, since it is smaller than the sum of its proper divisors (101032207754800).

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

65265127106000 is a wasteful number, since it uses less digits than its factorization.

65265127106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9095 (or 9079 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 65265127106000 in words is "sixty-five trillion, two hundred sixty-five billion, one hundred twenty-seven million, one hundred six thousand".