65507075638060 has 192 divisors, whose sum is σ = 159315803136000. Its totient is φ = 22161852315648.

The previous prime is 65507075638013. The next prime is 65507075638097. The reversal of 65507075638060 is 6083657070556.

65507075638060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×65507075638060² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65507075637986 and 65507075638004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14120945221 + ... + 14120949859.

It is an arithmetic number, because the mean of its divisors is an integer number (829769808000).

Almost surely, 2^{65507075638060} 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 65507075638060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79657901568000).

65507075638060 is an abundant number, since it is smaller than the sum of its proper divisors (93808727497940).

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

65507075638060 is a wasteful number, since it uses less digits than its factorization.

65507075638060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 58.

The spelling of 65507075638060 in words is "sixty-five trillion, five hundred seven billion, seventy-five million, six hundred thirty-eight thousand, sixty".