1259707680 has 576 divisors, whose sum is σ = 5605407360. Its totient is φ = 261273600.

The previous prime is 1259707679. The next prime is 1259707697. The reversal of 1259707680 is 867079521.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2328210 + ... + 2328750.

It is an arithmetic number, because the mean of its divisors is an integer number (9731610).

Almost surely, 2^1259707680 is an apocalyptic number.

1259707680 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 1259707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802703680).

1259707680 is an abundant number, since it is smaller than the sum of its proper divisors (4345699680).

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

1259707680 is a wasteful number, since it uses less digits than its factorization.

1259707680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1259707680 is about 35492.3608682206. The cubic root of 1259707680 is about 1079.9987654307.

The spelling of 1259707680 in words is "one billion, two hundred fifty-nine million, seven hundred seven thousand, six hundred eighty".