259981984604160 has 2016 divisors, whose sum is σ = 1142683722573120. Its totient is φ = 54188395462656.

The previous prime is 259981984604131. The next prime is 259981984604189. The reversal of 259981984604160 is 61406489189952.

259981984604160 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 8 + 1 + 9 + 8 + 4 + 604 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (259981984604131) and next prime (259981984604189).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19490358771 + ... + 19490372109.

It is an arithmetic number, because the mean of its divisors is an integer number (566807402070).

Almost surely, 2^{259981984604160} is an apocalyptic number.

259981984604160 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 259981984604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571341861286560).

259981984604160 is an abundant number, since it is smaller than the sum of its proper divisors (882701737968960).

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

259981984604160 is a wasteful number, since it uses less digits than its factorization.

259981984604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13486 (or 13452 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 259981984604160 in words is "two hundred fifty-nine trillion, nine hundred eighty-one billion, nine hundred eighty-four million, six hundred four thousand, one hundred sixty".