264340315012020 has 192 divisors, whose sum is σ = 801577975000320. Its totient is φ = 64701867589632.

The previous prime is 264340315011919. The next prime is 264340315012021. The reversal of 264340315012020 is 20210513043462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264340315012021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5234747412 + ... + 5234797908.

It is an arithmetic number, because the mean of its divisors is an integer number (4174885286460).

Almost surely, 2^{264340315012020} is an apocalyptic number.

264340315012020 is a gapful number since it is divisible by the number (20) 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 264340315012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400788987500160).

264340315012020 is an abundant number, since it is smaller than the sum of its proper divisors (537237659988300).

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

264340315012020 is a wasteful number, since it uses less digits than its factorization.

264340315012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88194 (or 88192 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 264340315012020 its reverse (20210513043462), we get a palindrome (284550828055482).

The spelling of 264340315012020 in words is "two hundred sixty-four trillion, three hundred forty billion, three hundred fifteen million, twelve thousand, twenty".