65431260131328 has 3328 divisors, whose sum is σ = 265899832934400. Its totient is φ = 15502273413120.

The previous prime is 65431260131323. The next prime is 65431260131329. The reversal of 65431260131328 is 82313106213456.

65431260131328 is a `hidden beast` number, since 6 + 5 + 4 + 3 + 1 + 2 + 601 + 3 + 1 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65431260131323) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 896318631900 + ... + 896318631972.

Almost surely, 2^{65431260131328} is an apocalyptic number.

65431260131328 is a gapful number since it is divisible by the number (68) 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 65431260131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132949916467200).

65431260131328 is an abundant number, since it is smaller than the sum of its proper divisors (200468572803072).

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

65431260131328 is a wasteful number, since it uses less digits than its factorization.

65431260131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 65431260131328 in words is "sixty-five trillion, four hundred thirty-one billion, two hundred sixty million, one hundred thirty-one thousand, three hundred twenty-eight".