264056000000 has 280 divisors, whose sum is σ = 710496374280. Its totient is φ = 97459200000.

The previous prime is 264055999937. The next prime is 264056000003. The reversal of 264056000000 is 650462.

It is a super-2 number, since 2×264056000000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264056000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264056000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 103998731 + ... + 104001269.

It is an arithmetic number, because the mean of its divisors is an integer number (2537487051).

Almost surely, 2^264056000000 is an apocalyptic number.

264056000000 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 264056000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355248187140).

264056000000 is an abundant number, since it is smaller than the sum of its proper divisors (446440374280).

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

264056000000 is an frugal number, since it uses more digits than its factorization.

264056000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 264056000000 its reverse (650462), we get a palindrome (264056650462).

The spelling of 264056000000 in words is "two hundred sixty-four billion, fifty-six million", and thus it is an aban number.