65441882880 has 864 divisors, whose sum is σ = 264845887488. Its totient is φ = 15328051200.

The previous prime is 65441882827. The next prime is 65441882887. The reversal of 65441882880 is 8828814456.

65441882880 is a `hidden beast` number, since 6 + 544 + 18 + 8 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (65441882887) 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 95 ways as a sum of consecutive naturals, for example, 106064332 + ... + 106064948.

It is an arithmetic number, because the mean of its divisors is an integer number (306534592).

Almost surely, 2^65441882880 is an apocalyptic number.

65441882880 is a gapful number since it is divisible by the number (60) 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 65441882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132422943744).

65441882880 is an abundant number, since it is smaller than the sum of its proper divisors (199404004608).

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

65441882880 is a wasteful number, since it uses less digits than its factorization.

65441882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 65441882880 in words is "sixty-five billion, four hundred forty-one million, eight hundred eighty-two thousand, eight hundred eighty".