259447053600 has 432 divisors, whose sum is σ = 1049788434240. Its totient is φ = 59063040000.

The previous prime is 259447053553. The next prime is 259447053637. The reversal of 259447053600 is 6350744952.

259447053600 is a `hidden beast` number, since 2 + 5 + 9 + 44 + 70 + 536 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12640146 + ... + 12660654.

It is an arithmetic number, because the mean of its divisors is an integer number (2430065820).

Almost surely, 2^259447053600 is an apocalyptic number.

259447053600 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 259447053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524894217120).

259447053600 is an abundant number, since it is smaller than the sum of its proper divisors (790341380640).

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

259447053600 is a wasteful number, since it uses less digits than its factorization.

259447053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20793 (or 20777 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 259447053600 in words is "two hundred fifty-nine billion, four hundred forty-seven million, fifty-three thousand, six hundred".