65192271872 has 378 divisors, whose sum is σ = 169694835489. Its totient is φ = 24958402560.

The previous prime is 65192271827. The next prime is 65192271901. The reversal of 65192271872 is 27817229156.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 55741321216 + 9450950656 = 236096^2 + 97216^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=180544.

It is a Duffinian number.

Its product of digits (846720) is a multiple of the sum of its prime factors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 65192271872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2102976497 + ... + 2102976527.

Almost surely, 2^65192271872 is an apocalyptic number.

65192271872 is a gapful number since it is divisible by the number (62) 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 65192271872

65192271872 is an abundant number, since it is smaller than the sum of its proper divisors (104502563617).

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

65192271872 is an equidigital number, since it uses as much as digits as its factorization.

65192271872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 53 counting only the distinct ones).

The product of its digits is 846720, while the sum is 50.

Multiplying 65192271872 by its sum of digits (50), we get a square (3259613593600 = 1805440²).

The spelling of 65192271872 in words is "sixty-five billion, one hundred ninety-two million, two hundred seventy-one thousand, eight hundred seventy-two".