260870022000 has 1920 divisors, whose sum is σ = 1158782976000. Its totient is φ = 54528768000.

The previous prime is 260870021999. The next prime is 260870022053. The reversal of 260870022000 is 220078062.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5550425977 + ... + 5550426023.

It is an arithmetic number, because the mean of its divisors is an integer number (603532800).

Almost surely, 2^260870022000 is an apocalyptic number.

260870022000 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 260870022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579391488000).

260870022000 is an abundant number, since it is smaller than the sum of its proper divisors (897912954000).

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

260870022000 is a wasteful number, since it uses less digits than its factorization.

260870022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 260870022000 in words is "two hundred sixty billion, eight hundred seventy million, twenty-two thousand".