259655988096 has 384 divisors, whose sum is σ = 813650695200. Its totient is φ = 81457643520.

The previous prime is 259655988091. The next prime is 259655988131. The reversal of 259655988096 is 690889556952.

259655988096 is a `hidden beast` number, since 25 + 9 + 6 + 5 + 598 + 8 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×259655988096² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259655988091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122883936 + ... + 122886048.

Almost surely, 2^259655988096 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 259655988096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406825347600).

259655988096 is an abundant number, since it is smaller than the sum of its proper divisors (553994707104).

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

259655988096 is a wasteful number, since it uses less digits than its factorization.

259655988096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 259655988096 in words is "two hundred fifty-nine billion, six hundred fifty-five million, nine hundred eighty-eight thousand, ninety-six".