264851865600 has 720 divisors, whose sum is σ = 1026633624576. Its totient is φ = 58982400000.

The previous prime is 264851865541. The next prime is 264851865611. The reversal of 264851865600 is 6568158462.

It is a super-3 number, since 3×264851865600³ (a number of 35 digits) contains 333 as substring.

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, 352665225 + ... + 352665975.

Almost surely, 2^264851865600 is an apocalyptic number.

264851865600 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 264851865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513316812288).

264851865600 is an abundant number, since it is smaller than the sum of its proper divisors (761781758976).

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

264851865600 is an equidigital number, since it uses as much as digits as its factorization.

264851865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 264851865600 in words is "two hundred sixty-four billion, eight hundred fifty-one million, eight hundred sixty-five thousand, six hundred".