259047474840 has 1536 divisors, whose sum is σ = 1144129536000. Its totient is φ = 51514444800.

The previous prime is 259047474839. The next prime is 259047474857. The reversal of 259047474840 is 48474740952.

259047474840 is a `hidden beast` number, since 2 + 5 + 90 + 4 + 7 + 474 + 84 + 0 = 666.

259047474840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1977461575 + ... + 1977461705.

It is an arithmetic number, because the mean of its divisors is an integer number (744876000).

Almost surely, 2^259047474840 is an apocalyptic number.

259047474840 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 259047474840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572064768000).

259047474840 is an abundant number, since it is smaller than the sum of its proper divisors (885082061160).

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

259047474840 is a wasteful number, since it uses less digits than its factorization.

259047474840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 259047474840 in words is "two hundred fifty-nine billion, forty-seven million, four hundred seventy-four thousand, eight hundred forty".