260749099520 has 640 divisors, whose sum is σ = 799373836800. Its totient is φ = 79843885056.

The previous prime is 260749099493. The next prime is 260749099547. The reversal of 260749099520 is 25990947062.

It is an interprime number because it is at equal distance from previous prime (260749099493) and next prime (260749099547).

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1456698791 + ... + 1456698969.

It is an arithmetic number, because the mean of its divisors is an integer number (1249021620).

Almost surely, 2^260749099520 is an apocalyptic number.

260749099520 is a gapful number since it is divisible by the number (20) 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 260749099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399686918400).

260749099520 is an abundant number, since it is smaller than the sum of its proper divisors (538624737280).

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

260749099520 is an equidigital number, since it uses as much as digits as its factorization.

260749099520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The spelling of 260749099520 in words is "two hundred sixty billion, seven hundred forty-nine million, ninety-nine thousand, five hundred twenty".