259250092200 has 288 divisors, whose sum is σ = 980439033600. Its totient is φ = 60820992000.

The previous prime is 259250092193. The next prime is 259250092201. The reversal of 259250092200 is 2290052952.

It is a super-2 number, since 2×259250092200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (259250092201) 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 71 ways as a sum of consecutive naturals, for example, 402616 + ... + 824984.

It is an arithmetic number, because the mean of its divisors is an integer number (3404302200).

Almost surely, 2^259250092200 is an apocalyptic number.

259250092200 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 259250092200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490219516800).

259250092200 is an abundant number, since it is smaller than the sum of its proper divisors (721188941400).

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

259250092200 is a wasteful number, since it uses less digits than its factorization.

259250092200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422433 (or 422421 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 259250092200 in words is "two hundred fifty-nine billion, two hundred fifty million, ninety-two thousand, two hundred".