259224205920 has 96 divisors (see below), whose sum is σ = 820061135712. Its totient is φ = 68829745152.

The previous prime is 259224205907. The next prime is 259224205937. The reversal of 259224205920 is 29502422952.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047067 + ... + 1270746.

It is an arithmetic number, because the mean of its divisors is an integer number (8542303497).

Almost surely, 2^259224205920 is an apocalyptic number.

259224205920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259224205920 is an abundant number, since it is smaller than the sum of its proper divisors (560836929792).

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

259224205920 is a wasteful number, since it uses less digits than its factorization.

259224205920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318064 (or 2318056 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 259224205920 in words is "two hundred fifty-nine billion, two hundred twenty-four million, two hundred five thousand, nine hundred twenty".