264013539552 has 288 divisors, whose sum is σ = 890879109120. Its totient is φ = 72574202880.

The previous prime is 264013539533. The next prime is 264013539563. The reversal of 264013539552 is 255935310462.

264013539552 is a `hidden beast` number, since 2 + 6 + 40 + 1 + 3 + 53 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 264013539498 and 264013539507.

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, 10799599 + ... + 10824017.

It is an arithmetic number, because the mean of its divisors is an integer number (3093330240).

Almost surely, 2^264013539552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264013539552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445439554560).

264013539552 is an abundant number, since it is smaller than the sum of its proper divisors (626865569568).

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

264013539552 is a wasteful number, since it uses less digits than its factorization.

264013539552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24646 (or 24635 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 264013539552 in words is "two hundred sixty-four billion, thirteen million, five hundred thirty-nine thousand, five hundred fifty-two".