264253535224140 has 768 divisors, whose sum is σ = 1019599391784960. Its totient is φ = 49414303825920.

The previous prime is 264253535224121. The next prime is 264253535224199. The reversal of 264253535224140 is 41422535352462.

It is a self number, because there is not a number n which added to its sum of digits gives 264253535224140.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5063369166 + ... + 5063421354.

It is an arithmetic number, because the mean of its divisors is an integer number (1327603374720).

Almost surely, 2^{264253535224140} is an apocalyptic number.

264253535224140 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 264253535224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509799695892480).

264253535224140 is an abundant number, since it is smaller than the sum of its proper divisors (755345856560820).

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

264253535224140 is a wasteful number, since it uses less digits than its factorization.

264253535224140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55062 (or 55060 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 48.

The spelling of 264253535224140 in words is "two hundred sixty-four trillion, two hundred fifty-three billion, five hundred thirty-five million, two hundred twenty-four thousand, one hundred forty".