259405220250 has 256 divisors, whose sum is σ = 787675000320. Its totient is φ = 62657280000.

The previous prime is 259405220227. The next prime is 259405220279. The reversal of 259405220250 is 52022504952.

It is a happy number.

259405220250 is a `hidden beast` number, since 2 + 5 + 9 + 405 + 220 + 25 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20858034 + ... + 20870466.

It is an arithmetic number, because the mean of its divisors is an integer number (3076855470).

Almost surely, 2^259405220250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259405220250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393837500160).

259405220250 is an abundant number, since it is smaller than the sum of its proper divisors (528269780070).

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

259405220250 is a wasteful number, since it uses less digits than its factorization.

259405220250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12751 (or 12735 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 259405220250 in words is "two hundred fifty-nine billion, four hundred five million, two hundred twenty thousand, two hundred fifty".