259452768960 has 2016 divisors, whose sum is σ = 1198016741376. Its totient is φ = 50363596800.

The previous prime is 259452768919. The next prime is 259452768973. The reversal of 259452768960 is 69867254952.

259452768960 is a `hidden beast` number, since 2 + 59 + 452 + 76 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×259452768960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3554147484 + ... + 3554147556.

It is an arithmetic number, because the mean of its divisors is an integer number (594254336).

Almost surely, 2^259452768960 is an apocalyptic number.

259452768960 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 259452768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599008370688).

259452768960 is an abundant number, since it is smaller than the sum of its proper divisors (938563972416).

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

259452768960 is a wasteful number, since it uses less digits than its factorization.

259452768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 259452768960 in words is "two hundred fifty-nine billion, four hundred fifty-two million, seven hundred sixty-eight thousand, nine hundred sixty".