65419827528 has 128 divisors (see below), whose sum is σ = 182446110720. Its totient is φ = 19377672960.

The previous prime is 65419827497. The next prime is 65419827619. The reversal of 65419827528 is 82572891456.

It is a Cunningham number, because it is equal to 255773²-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11251150 + ... + 11256962.

It is an arithmetic number, because the mean of its divisors is an integer number (1425360240).

Almost surely, 2^65419827528 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 65419827528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91223055360).

65419827528 is an abundant number, since it is smaller than the sum of its proper divisors (117026283192).

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

65419827528 is a wasteful number, since it uses less digits than its factorization.

65419827528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6787 (or 6783 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 57.

The spelling of 65419827528 in words is "sixty-five billion, four hundred nineteen million, eight hundred twenty-seven thousand, five hundred twenty-eight".