259738928640 has 480 divisors, whose sum is σ = 937305008640. Its totient is φ = 68934426624.

The previous prime is 259738928629. The next prime is 259738928663. The reversal of 259738928640 is 46829837952.

259738928640 is a `hidden beast` number, since 2 + 597 + 38 + 9 + 2 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×259738928640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148676247 + ... + 148677993.

It is an arithmetic number, because the mean of its divisors is an integer number (1952718768).

Almost surely, 2^259738928640 is an apocalyptic number.

259738928640 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 259738928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468652504320).

259738928640 is an abundant number, since it is smaller than the sum of its proper divisors (677566080000).

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

259738928640 is an equidigital number, since it uses as much as digits as its factorization.

259738928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 259738928640 in words is "two hundred fifty-nine billion, seven hundred thirty-eight million, nine hundred twenty-eight thousand, six hundred forty".