64960252851296 has 96 divisors (see below), whose sum is σ = 146888701948800. Its totient is φ = 27967828884480.

The previous prime is 64960252851289. The next prime is 64960252851341. The reversal of 64960252851296 is 69215825206946.

64960252851296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33245915 + ... + 35145573.

It is an arithmetic number, because the mean of its divisors is an integer number (1530090645300).

Almost surely, 2^{64960252851296} 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 64960252851296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73444350974400).

64960252851296 is an abundant number, since it is smaller than the sum of its proper divisors (81928449097504).

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

64960252851296 is a wasteful number, since it uses less digits than its factorization.

64960252851296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904812 (or 1904804 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 65.

The spelling of 64960252851296 in words is "sixty-four trillion, nine hundred sixty billion, two hundred fifty-two million, eight hundred fifty-one thousand, two hundred ninety-six".