264517800000 has 168 divisors, whose sum is σ = 874783510272. Its totient is φ = 70537920000.

The previous prime is 264517799993. The next prime is 264517800017. The reversal of 264517800000 is 8715462.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379569 + ... + 820431.

It is an arithmetic number, because the mean of its divisors is an integer number (5207044704).

Almost surely, 2^264517800000 is an apocalyptic number.

264517800000 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 264517800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437391755136).

264517800000 is an abundant number, since it is smaller than the sum of its proper divisors (610265710272).

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

264517800000 is an frugal number, since it uses more digits than its factorization.

264517800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440903 (or 440873 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 264517800000 in words is "two hundred sixty-four billion, five hundred seventeen million, eight hundred thousand".