265201323410540 has 576 divisors, whose sum is σ = 660628324984320. Its totient is φ = 88593672499200.

The previous prime is 265201323410519. The next prime is 265201323410563. The reversal of 265201323410540 is 45014323102562.

It is a junction number, because it is equal to n+sod(n) for n = 265201323410494 and 265201323410503.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56079786896 + ... + 56079791624.

It is an arithmetic number, because the mean of its divisors is an integer number (1146924175320).

Almost surely, 2^{265201323410540} is an apocalyptic number.

265201323410540 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 265201323410540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330314162492160).

265201323410540 is an abundant number, since it is smaller than the sum of its proper divisors (395427001573780).

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

265201323410540 is a wasteful number, since it uses less digits than its factorization.

265201323410540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 265201323410540 in words is "two hundred sixty-five trillion, two hundred one billion, three hundred twenty-three million, four hundred ten thousand, five hundred forty".