264112128000 has 1440 divisors, whose sum is σ = 1148281505280. Its totient is φ = 57094963200.

The previous prime is 264112127999. The next prime is 264112128043. The reversal of 264112128000 is 821211462.

264112128000 is a `hidden beast` number, since 2 + 641 + 1 + 2 + 12 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2967551956 + ... + 2967552044.

It is an arithmetic number, because the mean of its divisors is an integer number (797417712).

Almost surely, 2^264112128000 is an apocalyptic number.

264112128000 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 264112128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574140752640).

264112128000 is an abundant number, since it is smaller than the sum of its proper divisors (884169377280).

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

264112128000 is an equidigital number, since it uses as much as digits as its factorization.

264112128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 264112128000 its reverse (821211462), we get a palindrome (264933339462).

The spelling of 264112128000 in words is "two hundred sixty-four billion, one hundred twelve million, one hundred twenty-eight thousand".