1295918160 has 320 divisors, whose sum is σ = 4463714304. Its totient is φ = 309657600.

The previous prime is 1295918147. The next prime is 1295918179. The reversal of 1295918160 is 618195921.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10204017 + ... + 10204143.

Almost surely, 2^1295918160 is an apocalyptic number.

1295918160 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 1295918160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231857152).

1295918160 is an abundant number, since it is smaller than the sum of its proper divisors (3167796144).

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

1295918160 is a wasteful number, since it uses less digits than its factorization.

1295918160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 42.

The square root of 1295918160 is about 35998.8633153882. The cubic root of 1295918160 is about 1090.2494056561.

The spelling of 1295918160 in words is "one billion, two hundred ninety-five million, nine hundred eighteen thousand, one hundred sixty".