65541538129760 has 192 divisors, whose sum is σ = 194523287422464. Its totient is φ = 20272587878400.

The previous prime is 65541538129759. The next prime is 65541538129813. The reversal of 65541538129760 is 6792183514556.

It is a junction number, because it is equal to n+sod(n) for n = 65541538129693 and 65541538129702.

It is a congruent number.

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, 18691157 + ... + 21918996.

It is an arithmetic number, because the mean of its divisors is an integer number (1013142121992).

It is a 1-persistent number, because it is pandigital, but 2⋅65541538129760 = 131083076259520 is not.

Almost surely, 2^{65541538129760} is an apocalyptic number.

It is an amenable number.

65541538129760 is an abundant number, since it is smaller than the sum of its proper divisors (128981749292704).

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

65541538129760 is a wasteful number, since it uses less digits than its factorization.

65541538129760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40610317 (or 40610309 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 62.

The spelling of 65541538129760 in words is "sixty-five trillion, five hundred forty-one billion, five hundred thirty-eight million, one hundred twenty-nine thousand, seven hundred sixty".