259940571072 has 1344 divisors, whose sum is σ = 970990387200. Its totient is φ = 59779399680.

The previous prime is 259940571031. The next prime is 259940571073. The reversal of 259940571072 is 270175049952.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259940571073) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3879709983 + ... + 3879710049.

Almost surely, 2^259940571072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259940571072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485495193600).

259940571072 is an abundant number, since it is smaller than the sum of its proper divisors (711049816128).

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

259940571072 is a wasteful number, since it uses less digits than its factorization.

259940571072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 259940571072 in words is "two hundred fifty-nine billion, nine hundred forty million, five hundred seventy-one thousand, seventy-two".