259920066120 has 1152 divisors, whose sum is σ = 1023096009600. Its totient is φ = 52322181120.

The previous prime is 259920066079. The next prime is 259920066127. The reversal of 259920066120 is 21660029952.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (259920066127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1897226692 + ... + 1897226828.

It is an arithmetic number, because the mean of its divisors is an integer number (888104175).

Almost surely, 2^259920066120 is an apocalyptic number.

259920066120 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 259920066120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511548004800).

259920066120 is an abundant number, since it is smaller than the sum of its proper divisors (763175943480).

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

259920066120 is a wasteful number, since it uses less digits than its factorization.

259920066120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 259920066120 in words is "two hundred fifty-nine billion, nine hundred twenty million, sixty-six thousand, one hundred twenty".