65135704008100 has 72 divisors (see below), whose sum is σ = 159511009392000. Its totient is φ = 22868961897600.

The previous prime is 65135704008091. The next prime is 65135704008127. The reversal of 65135704008100 is 180040753156.

It is a happy number.

It is a super-2 number, since 2×65135704008100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020903900 + ... + 1020967699.

It is an arithmetic number, because the mean of its divisors is an integer number (2215430686000).

Almost surely, 2^{65135704008100} is an apocalyptic number.

It is an amenable number.

65135704008100 is an abundant number, since it is smaller than the sum of its proper divisors (94375305383900).

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

65135704008100 is a wasteful number, since it uses less digits than its factorization.

65135704008100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041871653 (or 2041871646 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 65135704008100 in words is "sixty-five trillion, one hundred thirty-five billion, seven hundred four million, eight thousand, one hundred".