265816080000 has 1600 divisors, whose sum is σ = 1110424550400. Its totient is φ = 62705664000.

The previous prime is 265816079999. The next prime is 265816080001. The reversal of 265816080000 is 80618562.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (265816079999) and next prime (265816080001).

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265816080001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 2093039937 + ... + 2093040063.

It is an arithmetic number, because the mean of its divisors is an integer number (694015344).

Almost surely, 2^265816080000 is an apocalyptic number.

265816080000 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 265816080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555212275200).

265816080000 is an abundant number, since it is smaller than the sum of its proper divisors (844608470400).

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

265816080000 is a wasteful number, since it uses less digits than its factorization.

265816080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 265816080000 its reverse (80618562), we get a palindrome (265896698562).

The spelling of 265816080000 in words is "two hundred sixty-five billion, eight hundred sixteen million, eighty thousand".