265642652400320 has 448 divisors, whose sum is σ = 715125734104320. Its totient is φ = 93304393039872.

The previous prime is 265642652400259. The next prime is 265642652400341. The reversal of 265642652400320 is 23004256246562.

It is a super-2 number, since 2×265642652400320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8516082644 + ... + 8516113836.

It is an arithmetic number, because the mean of its divisors is an integer number (1596262799340).

Almost surely, 2^{265642652400320} is an apocalyptic number.

265642652400320 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 265642652400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357562867052160).

265642652400320 is an abundant number, since it is smaller than the sum of its proper divisors (449483081704000).

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

265642652400320 is a wasteful number, since it uses less digits than its factorization.

265642652400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32292 (or 32282 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 47.

The spelling of 265642652400320 in words is "two hundred sixty-five trillion, six hundred forty-two billion, six hundred fifty-two million, four hundred thousand, three hundred twenty".