1259891160 has 128 divisors (see below), whose sum is σ = 4138041600. Its totient is φ = 304335360.

The previous prime is 1259891147. The next prime is 1259891183. The reversal of 1259891160 is 611989521.

It is a super-2 number, since 2×1259891160² = 3174651470092291200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403686 + ... + 406794.

It is an arithmetic number, because the mean of its divisors is an integer number (32328450).

Almost surely, 2^1259891160 is an apocalyptic number.

1259891160 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 1259891160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069020800).

1259891160 is an abundant number, since it is smaller than the sum of its proper divisors (2878150440).

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

1259891160 is a wasteful number, since it uses less digits than its factorization.

1259891160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3437 counting only the distinct ones).

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

The square root of 1259891160 is about 35494.9455556703. The cubic root of 1259891160 is about 1080.0511978473.

The spelling of 1259891160 in words is "one billion, two hundred fifty-nine million, eight hundred ninety-one thousand, one hundred sixty".