265641465600 has 1296 divisors, whose sum is σ = 1146368815200. Its totient is φ = 60011642880.

The previous prime is 265641465589. The next prime is 265641465601. The reversal of 265641465600 is 6564146562.

265641465600 is a `hidden beast` number, since 2 + 6 + 5 + 6 + 41 + 46 + 560 + 0 = 666.

It is a super-2 number, since 2×265641465600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265641465601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1160006286 + ... + 1160006514.

Almost surely, 2^265641465600 is an apocalyptic number.

265641465600 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 265641465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573184407600).

265641465600 is an abundant number, since it is smaller than the sum of its proper divisors (880727349600).

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

265641465600 is a wasteful number, since it uses less digits than its factorization.

265641465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 265641465600 in words is "two hundred sixty-five billion, six hundred forty-one million, four hundred sixty-five thousand, six hundred".