264859507920 has 480 divisors, whose sum is σ = 1011084750720. Its totient is φ = 57089249280.

The previous prime is 264859507907. The next prime is 264859507933. The reversal of 264859507920 is 29705958462.

It is an interprime number because it is at equal distance from previous prime (264859507907) and next prime (264859507933).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14655690 + ... + 14673750.

It is an arithmetic number, because the mean of its divisors is an integer number (2106426564).

Almost surely, 2^264859507920 is an apocalyptic number.

264859507920 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 264859507920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505542375360).

264859507920 is an abundant number, since it is smaller than the sum of its proper divisors (746225242800).

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

264859507920 is a wasteful number, since it uses less digits than its factorization.

264859507920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18163 (or 18150 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 264859507920 in words is "two hundred sixty-four billion, eight hundred fifty-nine million, five hundred seven thousand, nine hundred twenty".