259316890560 has 1792 divisors, whose sum is σ = 1179795456000. Its totient is φ = 53258010624.

The previous prime is 259316890549. The next prime is 259316890571. The reversal of 259316890560 is 65098613952.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (259316890549) and next prime (259316890571).

It is a super-4 number, since 4×259316890560⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 259316890497 and 259316890506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2041865217 + ... + 2041865343.

It is an arithmetic number, because the mean of its divisors is an integer number (658368000).

Almost surely, 2^259316890560 is an apocalyptic number.

259316890560 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 259316890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589897728000).

259316890560 is an abundant number, since it is smaller than the sum of its proper divisors (920478565440).

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

259316890560 is a wasteful number, since it uses less digits than its factorization.

259316890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 259316890560 in words is "two hundred fifty-nine billion, three hundred sixteen million, eight hundred ninety thousand, five hundred sixty".