259255503360 has 960 divisors, whose sum is σ = 1097963475840. Its totient is φ = 57782108160.

The previous prime is 259255503317. The next prime is 259255503433. The reversal of 259255503360 is 63305552952.

259255503360 is a `hidden beast` number, since 2 + 5 + 9 + 2 + 5 + 550 + 33 + 60 = 666.

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

It is a super-3 number, since 3×259255503360³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

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, 138861147 + ... + 138863013.

It is an arithmetic number, because the mean of its divisors is an integer number (1143711954).

Almost surely, 2^259255503360 is an apocalyptic number.

259255503360 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 259255503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548981737920).

259255503360 is an abundant number, since it is smaller than the sum of its proper divisors (838707972480).

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

259255503360 is a wasteful number, since it uses less digits than its factorization.

259255503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 259255503360 in words is "two hundred fifty-nine billion, two hundred fifty-five million, five hundred three thousand, three hundred sixty".