65228792468256 has 240 divisors, whose sum is σ = 192090598761600. Its totient is φ = 21714100780032.

The previous prime is 65228792468251. The next prime is 65228792468321. The reversal of 65228792468256 is 65286429782256.

65228792468256 is a `hidden beast` number, since 6 + 5 + 2 + 28 + 7 + 92 + 468 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (65228792468251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10414940581 + ... + 10414946843.

It is an arithmetic number, because the mean of its divisors is an integer number (800377494840).

Almost surely, 2^{65228792468256} 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 65228792468256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96045299380800).

65228792468256 is an abundant number, since it is smaller than the sum of its proper divisors (126861806293344).

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

65228792468256 is a wasteful number, since it uses less digits than its factorization.

65228792468256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10973 (or 10956 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 65228792468256 in words is "sixty-five trillion, two hundred twenty-eight billion, seven hundred ninety-two million, four hundred sixty-eight thousand, two hundred fifty-six".