1259125760 has 88 divisors (see below), whose sum is σ = 3118252416. Its totient is φ = 487342080.

The previous prime is 1259125759. The next prime is 1259125783. The reversal of 1259125760 is 675219521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154754 + ... + 162686.

Almost surely, 2^1259125760 is an apocalyptic number.

1259125760 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 1259125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559126208).

1259125760 is an abundant number, since it is smaller than the sum of its proper divisors (1859126656).

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

1259125760 is an equidigital number, since it uses as much as digits as its factorization.

1259125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989 (or 7971 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 1259125760 is about 35484.1621008585. The cubic root of 1259125760 is about 1079.8324385676.

The spelling of 1259125760 in words is "one billion, two hundred fifty-nine million, one hundred twenty-five thousand, seven hundred sixty".