259527201120 has 480 divisors, whose sum is σ = 1004360376096. Its totient is φ = 62589542400.

The previous prime is 259527201097. The next prime is 259527201161. The reversal of 259527201120 is 21102725952.

259527201120 is a `hidden beast` number, since 2 + 5 + 9 + 527 + 2 + 0 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28079700 + ... + 28088940.

Almost surely, 2^259527201120 is an apocalyptic number.

259527201120 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 259527201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502180188048).

259527201120 is an abundant number, since it is smaller than the sum of its proper divisors (744833174976).

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

259527201120 is a wasteful number, since it uses less digits than its factorization.

259527201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9476 (or 9459 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 259527201120 in words is "two hundred fifty-nine billion, five hundred twenty-seven million, two hundred one thousand, one hundred twenty".