264064213133520 has 80 divisors (see below), whose sum is σ = 818684170175040. Its totient is φ = 70409802258432.

The previous prime is 264064213133503. The next prime is 264064213133527. The reversal of 264064213133520 is 25331312460462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264064213133527) by changing a digit.

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, 54883849 + ... + 59500968.

It is an arithmetic number, because the mean of its divisors is an integer number (10233552127188).

Almost surely, 2^{264064213133520} is an apocalyptic number.

264064213133520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264064213133520 is an abundant number, since it is smaller than the sum of its proper divisors (554619957041520).

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

264064213133520 is a wasteful number, since it uses less digits than its factorization.

264064213133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114394452 (or 114394446 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

Adding to 264064213133520 its reverse (25331312460462), we get a palindrome (289395525593982).

The spelling of 264064213133520 in words is "two hundred sixty-four trillion, sixty-four billion, two hundred thirteen million, one hundred thirty-three thousand, five hundred twenty".