259747442320 has 80 divisors (see below), whose sum is σ = 607243633920. Its totient is φ = 103327529472.

The previous prime is 259747442267. The next prime is 259747442347. The reversal of 259747442320 is 23244747952.

259747442320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 10700437 + ... + 10724683.

It is an arithmetic number, because the mean of its divisors is an integer number (7590545424).

Almost surely, 2^259747442320 is an apocalyptic number.

259747442320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259747442320 is an abundant number, since it is smaller than the sum of its proper divisors (347496191600).

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

259747442320 is a wasteful number, since it uses less digits than its factorization.

259747442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24992 (or 24986 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 259747442320 in words is "two hundred fifty-nine billion, seven hundred forty-seven million, four hundred forty-two thousand, three hundred twenty".