65508536832000 has 1664 divisors, whose sum is σ = 236583213834240. Its totient is φ = 16043094835200.

The previous prime is 65508536831879. The next prime is 65508536832059. The reversal of 65508536832000 is 23863580556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223578623854 + ... + 223578624146.

It is an arithmetic number, because the mean of its divisors is an integer number (142177412160).

Almost surely, 2^{65508536832000} is an apocalyptic number.

65508536832000 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 65508536832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118291606917120).

65508536832000 is an abundant number, since it is smaller than the sum of its proper divisors (171074677002240).

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

65508536832000 is a wasteful number, since it uses less digits than its factorization.

65508536832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 65508536832000 in words is "sixty-five trillion, five hundred eight billion, five hundred thirty-six million, eight hundred thirty-two thousand".