259246584160 has 48 divisors (see below), whose sum is σ = 612503047296. Its totient is φ = 103693047808.

The previous prime is 259246584131. The next prime is 259246584193. The reversal of 259246584160 is 61485642952.

It is a junction number, because it is equal to n+sod(n) for n = 259246584098 and 259246584107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4255032 + ... + 4315528.

It is an arithmetic number, because the mean of its divisors is an integer number (12760480152).

Almost surely, 2^259246584160 is an apocalyptic number.

259246584160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259246584160 is an abundant number, since it is smaller than the sum of its proper divisors (353256463136).

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

259246584160 is a wasteful number, since it uses less digits than its factorization.

259246584160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87295 (or 87287 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 259246584160 in words is "two hundred fifty-nine billion, two hundred forty-six million, five hundred eighty-four thousand, one hundred sixty".