259369943040 has 360 divisors, whose sum is σ = 968320684968. Its totient is φ = 63842549760.

The previous prime is 259369943039. The next prime is 259369943071. The reversal of 259369943040 is 40349963952.

259369943040 is a `hidden beast` number, since 2 + 59 + 36 + 99 + 430 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2053177344 + 257316765696 = 45312^2 + 507264^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9571110 + ... + 9598170.

Almost surely, 2^259369943040 is an apocalyptic number.

259369943040 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 259369943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484160342484).

259369943040 is an abundant number, since it is smaller than the sum of its proper divisors (708950741928).

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

259369943040 is a wasteful number, since it uses less digits than its factorization.

259369943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27113 (or 27084 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 259369943040 in words is "two hundred fifty-nine billion, three hundred sixty-nine million, nine hundred forty-three thousand, forty".