1265582160 has 240 divisors, whose sum is σ = 4387219200. Its totient is φ = 326784000.

The previous prime is 1265582159. The next prime is 1265582167. The reversal of 1265582160 is 612855621.

1265582160 is a `hidden beast` number, since 1 + 2 + 65 + 582 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (1265582167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5042035 + ... + 5042285.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 2^1265582160 is an apocalyptic number.

1265582160 is a gapful number since it is divisible by the number (10) 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 1265582160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193609600).

1265582160 is an abundant number, since it is smaller than the sum of its proper divisors (3121637040).

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

1265582160 is a wasteful number, since it uses less digits than its factorization.

1265582160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1265582160 is about 35575.0215741326. The cubic root of 1265582160 is about 1081.6749729565.

The spelling of 1265582160 in words is "one billion, two hundred sixty-five million, five hundred eighty-two thousand, one hundred sixty".