259780608000 has 1024 divisors, whose sum is σ = 1005988464000. Its totient is φ = 66886041600.

The previous prime is 259780607993. The next prime is 259780608011. The reversal of 259780608000 is 806087952.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8957951986 + ... + 8957952014.

Almost surely, 2^259780608000 is an apocalyptic number.

259780608000 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 259780608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502994232000).

259780608000 is an abundant number, since it is smaller than the sum of its proper divisors (746207856000).

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

259780608000 is an frugal number, since it uses more digits than its factorization.

259780608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 259780608000 in words is "two hundred fifty-nine billion, seven hundred eighty million, six hundred eight thousand".