259445500554240 has 10560 divisors, whose sum is σ = 1384401823580160. Its totient is φ = 45509262704640.

The previous prime is 259445500554169. The next prime is 259445500554257. The reversal of 259445500554240 is 42455005544952.

259445500554240 is a `hidden beast` number, since 2 + 5 + 9 + 4 + 4 + 5 + 50 + 0 + 5 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (10560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 2042877957057 + ... + 2042877957183.

It is an arithmetic number, because the mean of its divisors is an integer number (131098657536).

Almost surely, 2^{259445500554240} is an apocalyptic number.

259445500554240 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 259445500554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692200911790080).

259445500554240 is an abundant number, since it is smaller than the sum of its proper divisors (1124956323025920).

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

259445500554240 is a wasteful number, since it uses less digits than its factorization.

259445500554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 28800000, while the sum is 54.

The spelling of 259445500554240 in words is "two hundred fifty-nine trillion, four hundred forty-five billion, five hundred million, five hundred fifty-four thousand, two hundred forty".