259696005120 has 312 divisors, whose sum is σ = 933527090496. Its totient is φ = 69250940928.

The previous prime is 259696005103. The next prime is 259696005137. The reversal of 259696005120 is 21500696952.

It is a happy number.

259696005120 is a `hidden beast` number, since 2 + 596 + 9 + 6 + 0 + 0 + 51 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (259696005103) and next prime (259696005137).

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 23 ways as a sum of consecutive naturals, for example, 4950549 + ... + 5002731.

It is an arithmetic number, because the mean of its divisors is an integer number (2992074008).

Almost surely, 2^259696005120 is an apocalyptic number.

259696005120 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 259696005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466763545248).

259696005120 is an abundant number, since it is smaller than the sum of its proper divisors (673831085376).

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

259696005120 is an frugal number, since it uses more digits than its factorization.

259696005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52227 (or 52193 counting only the distinct ones).

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

The spelling of 259696005120 in words is "two hundred fifty-nine billion, six hundred ninety-six million, five thousand, one hundred twenty".