259043454450 has 144 divisors (see below), whose sum is σ = 765030400992. Its totient is φ = 62318880000.

The previous prime is 259043454433. The next prime is 259043454487. The reversal of 259043454450 is 54454340952.

259043454450 is a `hidden beast` number, since 2 + 59 + 0 + 4 + 3 + 4 + 544 + 50 = 666.

259043454450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×259043454450² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 259043454396 and 259043454405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 448710 + ... + 848190.

It is an arithmetic number, because the mean of its divisors is an integer number (5312711118).

Almost surely, 2^259043454450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259043454450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382515200496).

259043454450 is an abundant number, since it is smaller than the sum of its proper divisors (505986946542).

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

259043454450 is a wasteful number, since it uses less digits than its factorization.

259043454450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399641 (or 399633 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 259043454450 in words is "two hundred fifty-nine billion, forty-three million, four hundred fifty-four thousand, four hundred fifty".