260107588800 has 2016 divisors, whose sum is σ = 1114353676800. Its totient is φ = 59268464640.

The previous prime is 260107588789. The next prime is 260107588801. The reversal of 260107588800 is 8885701062.

260107588800 is a `hidden beast` number, since 2 + 60 + 1 + 0 + 7 + 588 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (260107588801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4408603171 + ... + 4408603229.

It is an arithmetic number, because the mean of its divisors is an integer number (552754800).

Almost surely, 2^260107588800 is an apocalyptic number.

260107588800 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 260107588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557176838400).

260107588800 is an abundant number, since it is smaller than the sum of its proper divisors (854246088000).

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

260107588800 is a wasteful number, since it uses less digits than its factorization.

260107588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 260107588800 in words is "two hundred sixty billion, one hundred seven million, five hundred eighty-eight thousand, eight hundred".