1259648880 has 480 divisors, whose sum is σ = 4836547584. Its totient is φ = 270047232.

The previous prime is 1259648857. The next prime is 1259648891. The reversal of 1259648880 is 888469521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23766934 + ... + 23766986.

Almost surely, 2^1259648880 is an apocalyptic number.

1259648880 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 1259648880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418273792).

1259648880 is an abundant number, since it is smaller than the sum of its proper divisors (3576898704).

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

1259648880 is a wasteful number, since it uses less digits than its factorization.

1259648880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The square root of 1259648880 is about 35491.5325112906. The cubic root of 1259648880 is about 1079.9819612899.

The spelling of 1259648880 in words is "one billion, two hundred fifty-nine million, six hundred forty-eight thousand, eight hundred eighty".