259555501440 has 256 divisors, whose sum is σ = 920426457600. Its totient is φ = 69126912000.

The previous prime is 259555501411. The next prime is 259555501453. The reversal of 259555501440 is 44105555952.

259555501440 is a `hidden beast` number, since 2 + 5 + 9 + 55 + 550 + 1 + 4 + 40 = 666.

259555501440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14212315 + ... + 14230565.

It is an arithmetic number, because the mean of its divisors is an integer number (3595415850).

Almost surely, 2^259555501440 is an apocalyptic number.

259555501440 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 259555501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460213228800).

259555501440 is an abundant number, since it is smaller than the sum of its proper divisors (660870956160).

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

259555501440 is a wasteful number, since it uses less digits than its factorization.

259555501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19102 (or 19084 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 259555501440 in words is "two hundred fifty-nine billion, five hundred fifty-five million, five hundred one thousand, four hundred forty".