259591632102 has 192 divisors, whose sum is σ = 669813738048. Its totient is φ = 71764992000.

The previous prime is 259591632067. The next prime is 259591632151. The reversal of 259591632102 is 201236195952.

259591632102 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 9 + 1 + 632 + 1 + 0 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21660952 + ... + 21672932.

It is an arithmetic number, because the mean of its divisors is an integer number (3488613219).

Almost surely, 2^259591632102 is an apocalyptic number.

259591632102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 259591632102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334906869024).

259591632102 is an abundant number, since it is smaller than the sum of its proper divisors (410222105946).

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

259591632102 is a wasteful number, since it uses less digits than its factorization.

259591632102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12215 (or 12212 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 259591632102 in words is "two hundred fifty-nine billion, five hundred ninety-one million, six hundred thirty-two thousand, one hundred two".