259461863712 has 96 divisors (see below), whose sum is σ = 757122629760. Its totient is φ = 86446275840.

The previous prime is 259461863681. The next prime is 259461863753. The reversal of 259461863712 is 217368164952.

It is a happy number.

259461863712 is a `hidden beast` number, since 2 + 5 + 9 + 4 + 618 + 6 + 3 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1779693 + ... + 1919955.

It is an arithmetic number, because the mean of its divisors is an integer number (7886694060).

Almost surely, 2^259461863712 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 259461863712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378561314880).

259461863712 is an abundant number, since it is smaller than the sum of its proper divisors (497660766048).

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

259461863712 is a wasteful number, since it uses less digits than its factorization.

259461863712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142423 (or 142409 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 259461863712 in words is "two hundred fifty-nine billion, four hundred sixty-one million, eight hundred sixty-three thousand, seven hundred twelve".