265349468160 has 728 divisors, whose sum is σ = 1091520864960. Its totient is φ = 60627419136.

The previous prime is 265349468147. The next prime is 265349468203. The reversal of 265349468160 is 61864943562.

265349468160 is a `hidden beast` number, since 2 + 6 + 534 + 9 + 46 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 265349468097 and 265349468106.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 104508171 + ... + 104510709.

Almost surely, 2^265349468160 is an apocalyptic number.

265349468160 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 265349468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545760432480).

265349468160 is an abundant number, since it is smaller than the sum of its proper divisors (826171396800).

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

265349468160 is an frugal number, since it uses more digits than its factorization.

265349468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 265349468160 in words is "two hundred sixty-five billion, three hundred forty-nine million, four hundred sixty-eight thousand, one hundred sixty".