259728850700352 has 1680 divisors, whose sum is σ = 926951759585280. Its totient is φ = 71223780556800.

The previous prime is 259728850700339. The next prime is 259728850700359. The reversal of 259728850700352 is 253007058827952.

259728850700352 is a `hidden beast` number, since 2 + 5 + 9 + 72 + 8 + 8 + 507 + 0 + 0 + 3 + 52 = 666.

It is a super-2 number, since 2×259728850700352² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 259728850700352.

It is not an unprimeable number, because it can be changed into a prime (259728850700359) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 83273115049 + ... + 83273118167.

Almost surely, 2^{259728850700352} is an apocalyptic number.

259728850700352 is a gapful number since it is divisible by the number (22) 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 259728850700352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463475879792640).

259728850700352 is an abundant number, since it is smaller than the sum of its proper divisors (667222908884928).

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

259728850700352 is a wasteful number, since it uses less digits than its factorization.

259728850700352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 259728850700352 in words is "two hundred fifty-nine trillion, seven hundred twenty-eight billion, eight hundred fifty million, seven hundred thousand, three hundred fifty-two".