260109367560 has 1152 divisors, whose sum is σ = 1070795980800. Its totient is φ = 56552670720.

The previous prime is 260109367523. The next prime is 260109367579. The reversal of 260109367560 is 65763901062.

260109367560 is a `hidden beast` number, since 2 + 601 + 0 + 9 + 36 + 7 + 5 + 6 + 0 = 666.

260109367560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×260109367560³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1166409609 + ... + 1166409831.

It is an arithmetic number, because the mean of its divisors is an integer number (929510400).

Almost surely, 2^260109367560 is an apocalyptic number.

260109367560 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 260109367560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535397990400).

260109367560 is an abundant number, since it is smaller than the sum of its proper divisors (810686613240).

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

260109367560 is a wasteful number, since it uses less digits than its factorization.

260109367560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 260109367560 in words is "two hundred sixty billion, one hundred nine million, three hundred sixty-seven thousand, five hundred sixty".