259518052440 has 256 divisors, whose sum is σ = 899453808000. Its totient is φ = 66477680640.

The previous prime is 259518052421. The next prime is 259518052441. The reversal of 259518052440 is 44250815952.

259518052440 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 1 + 80 + 524 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259518052441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6149010 + ... + 6191070.

Almost surely, 2^259518052440 is an apocalyptic number.

259518052440 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 259518052440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449726904000).

259518052440 is an abundant number, since it is smaller than the sum of its proper divisors (639935755560).

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

259518052440 is a wasteful number, since it uses less digits than its factorization.

259518052440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42307 (or 42297 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 259518052440 in words is "two hundred fifty-nine billion, five hundred eighteen million, fifty-two thousand, four hundred forty".