1295830016 has 88 divisors (see below), whose sum is σ = 2807566944. Its totient is φ = 594247680.

The previous prime is 1295830013. The next prime is 1295830033. The reversal of 1295830016 is 6100385921.

It is not an unprimeable number, because it can be changed into a prime (1295830013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4139876 + ... + 4140188.

Almost surely, 2^1295830016 is an apocalyptic number.

1295830016 is a gapful number since it is divisible by the number (16) 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 1295830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403783472).

1295830016 is an abundant number, since it is smaller than the sum of its proper divisors (1511736928).

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

1295830016 is a wasteful number, since it uses less digits than its factorization.

1295830016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 1295830016 is about 35997.6390336922. The cubic root of 1295830016 is about 1090.2246867283.

The spelling of 1295830016 in words is "one billion, two hundred ninety-five million, eight hundred thirty thousand, sixteen".