1259698560 has 128 divisors (see below), whose sum is σ = 4045442400. Its totient is φ = 333398016.

The previous prime is 1259698519. The next prime is 1259698567. The reversal of 1259698560 is 658969521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1259698567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 260646 + ... + 265434.

Almost surely, 2^1259698560 is an apocalyptic number.

1259698560 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 1259698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022721200).

1259698560 is an abundant number, since it is smaller than the sum of its proper divisors (2785743840).

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

1259698560 is a wasteful number, since it uses less digits than its factorization.

1259698560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 1259698560 is about 35492.2323896370. The cubic root of 1259698560 is about 1079.9961591084.

It can be divided in two parts, 12596 and 98560, that added together give a triangular number (111156 = T₄₇₁).

The spelling of 1259698560 in words is "one billion, two hundred fifty-nine million, six hundred ninety-eight thousand, five hundred sixty".