65138652005904 has 135 divisors (see below), whose sum is σ = 193656835613293. Its totient is φ = 20435138996736.

The previous prime is 65138652005881. The next prime is 65138652005981. The reversal of 65138652005904 is 40950025683156.

The square root of 65138652005904 is 8070852.

It is a perfect power (a square), and thus also a powerful number.

65138652005904 is a `hidden beast` number, since 6 + 5 + 1 + 386 + 5 + 200 + 59 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50713483395600 + 14425168610304 = 7121340^2 + 3798048^2 .

It is a super-2 number, since 2×65138652005904² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1646434027 + ... + 1646473589.

Almost surely, 2^{65138652005904} is an apocalyptic number.

65138652005904 is the 8070852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65138652005904

65138652005904 is an abundant number, since it is smaller than the sum of its proper divisors (128518183607389).

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

65138652005904 is an frugal number, since it uses more digits than its factorization.

65138652005904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79174 (or 39585 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 65138652005904 in words is "sixty-five trillion, one hundred thirty-eight billion, six hundred fifty-two million, five thousand, nine hundred four".