260142285312 has 1440 divisors, whose sum is σ = 1028318683392. Its totient is φ = 63852281856.

The previous prime is 260142285281. The next prime is 260142285323. The reversal of 260142285312 is 213582241062.

260142285312 is a `hidden beast` number, since 2 + 60 + 1 + 4 + 2 + 285 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7030872558 + ... + 7030872594.

Almost surely, 2^260142285312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260142285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514159341696).

260142285312 is an abundant number, since it is smaller than the sum of its proper divisors (768176398080).

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

260142285312 is an frugal number, since it uses more digits than its factorization.

260142285312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 260142285312 in words is "two hundred sixty billion, one hundred forty-two million, two hundred eighty-five thousand, three hundred twelve".