259278880227840 has 960 divisors, whose sum is σ = 1015624574616960. Its totient is φ = 62650124697600.

The previous prime is 259278880227839. The next prime is 259278880227977. The reversal of 259278880227840 is 48722088872952.

259278880227840 is a `hidden beast` number, since 2 + 5 + 9 + 278 + 8 + 80 + 2 + 278 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×259278880227840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2567550150 + ... + 2567651130.

It is an arithmetic number, because the mean of its divisors is an integer number (1057942265226).

Almost surely, 2^{259278880227840} is an apocalyptic number.

259278880227840 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 259278880227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507812287308480).

259278880227840 is an abundant number, since it is smaller than the sum of its proper divisors (756345694389120).

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

259278880227840 is a wasteful number, since it uses less digits than its factorization.

259278880227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101342 (or 101309 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 259278880227840 in words is "two hundred fifty-nine trillion, two hundred seventy-eight billion, eight hundred eighty million, two hundred twenty-seven thousand, eight hundred forty".