1295880000 has 140 divisors (see below), whose sum is σ = 4284878400. Its totient is φ = 345536000.

The previous prime is 1295879999. The next prime is 1295880017. The reversal of 1295880000 is 885921.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114601 + ... + 125399.

Almost surely, 2^1295880000 is an apocalyptic number.

1295880000 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 1295880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142439200).

1295880000 is an abundant number, since it is smaller than the sum of its proper divisors (2988998400).

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

1295880000 is an equidigital number, since it uses as much as digits as its factorization.

1295880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10834 (or 10809 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1295880000 is about 35998.3332947513. Note that the first 3 decimals coincide. The cubic root of 1295880000 is about 1090.2387042793.

The spelling of 1295880000 in words is "one billion, two hundred ninety-five million, eight hundred eighty thousand".