260105570712 has 256 divisors, whose sum is σ = 785411827200. Its totient is φ = 79283473920.

The previous prime is 260105570687. The next prime is 260105570759. The reversal of 260105570712 is 217075501062.

260105570712 is a `hidden beast` number, since 2 + 6 + 0 + 10 + 5 + 570 + 71 + 2 = 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 63 ways as a sum of consecutive naturals, for example, 156031303 + ... + 156032969.

It is an arithmetic number, because the mean of its divisors is an integer number (3068014950).

Almost surely, 2^260105570712 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 260105570712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392705913600).

260105570712 is an abundant number, since it is smaller than the sum of its proper divisors (525306256488).

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

260105570712 is a wasteful number, since it uses less digits than its factorization.

260105570712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 260105570712 in words is "two hundred sixty billion, one hundred five million, five hundred seventy thousand, seven hundred twelve".