259828820160 has 448 divisors, whose sum is σ = 1021396992000. Its totient is φ = 54817910784.

The previous prime is 259828820117. The next prime is 259828820189. The reversal of 259828820160 is 61028828952.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×259828820160² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14755041 + ... + 14772639.

It is an arithmetic number, because the mean of its divisors is an integer number (2279904000).

Almost surely, 2^259828820160 is an apocalyptic number.

259828820160 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 259828820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510698496000).

259828820160 is an abundant number, since it is smaller than the sum of its proper divisors (761568171840).

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

259828820160 is a wasteful number, since it uses less digits than its factorization.

259828820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17665 (or 17629 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 259828820160 in words is "two hundred fifty-nine billion, eight hundred twenty-eight million, eight hundred twenty thousand, one hundred sixty".