259728357440 has 112 divisors (see below), whose sum is σ = 646153079040. Its totient is φ = 99253524480.

The previous prime is 259728357401. The next prime is 259728357457. The reversal of 259728357440 is 44753827952.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6154010 + ... + 6196070.

It is an arithmetic number, because the mean of its divisors is an integer number (5769223920).

Almost surely, 2^259728357440 is an apocalyptic number.

259728357440 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 259728357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323076539520).

259728357440 is an abundant number, since it is smaller than the sum of its proper divisors (386424721600).

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

259728357440 is a wasteful number, since it uses less digits than its factorization.

259728357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42940 (or 42930 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 56.

The spelling of 259728357440 in words is "two hundred fifty-nine billion, seven hundred twenty-eight million, three hundred fifty-seven thousand, four hundred forty".