264055509600 has 288 divisors, whose sum is σ = 935940096000. Its totient is φ = 64408135680.

The previous prime is 264055509587. The next prime is 264055509647. The reversal of 264055509600 is 6905550462.

264055509600 is digitally balanced in base 3, 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222561 + ... + 1422239.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792000).

Almost surely, 2^264055509600 is an apocalyptic number.

264055509600 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 264055509600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467970048000).

264055509600 is an abundant number, since it is smaller than the sum of its proper divisors (671884586400).

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

264055509600 is a wasteful number, since it uses less digits than its factorization.

264055509600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199750 (or 199737 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 264055509600 in words is "two hundred sixty-four billion, fifty-five million, five hundred nine thousand, six hundred".